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Math Problems
Calculus
Find indefinite integrals using the substitution
Evaluate
∫
0
4
(
3
e
−
0.25
x
+
8
)
d
x
\int_{0}^{4}\left(3 e^{-0.25 x}+8\right) d x
∫
0
4
(
3
e
−
0.25
x
+
8
)
d
x
and express the answer in simplest form.
\newline
Answer:
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Evaluate
∫
0
6
(
10
e
−
0.5
x
+
4
)
d
x
\int_{0}^{6}\left(10 e^{-0.5 x}+4\right) d x
∫
0
6
(
10
e
−
0.5
x
+
4
)
d
x
and express the answer in simplest form.
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
−
5
16
+
16
x
2
d
x
\int \frac{-5}{16+16 x^{2}} d x
∫
16
+
16
x
2
−
5
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
−
2
9
+
25
x
2
d
x
\int \frac{-2}{9+25 x^{2}} d x
∫
9
+
25
x
2
−
2
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
−
10
16
+
x
2
d
x
\int \frac{-10}{16+x^{2}} d x
∫
16
+
x
2
−
10
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
−
5
25
+
25
x
2
d
x
\int \frac{-5}{25+25 x^{2}} d x
∫
25
+
25
x
2
−
5
d
x
\newline
Answer:
Get tutor help
Evaluate the integral and express your answer in simplest form.
\newline
∫
−
7
x
x
2
−
1
d
x
\int \frac{-7}{x \sqrt{x^{2}-1}} d x
∫
x
x
2
−
1
−
7
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
−
10
1
+
16
x
2
d
x
\int \frac{-10}{1+16 x^{2}} d x
∫
1
+
16
x
2
−
10
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
2
25
+
25
x
2
d
x
\int \frac{2}{25+25 x^{2}} d x
∫
25
+
25
x
2
2
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
1
x
x
2
−
25
d
x
\int \frac{1}{x \sqrt{x^{2}-25}} d x
∫
x
x
2
−
25
1
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
3
x
x
2
−
36
d
x
\int \frac{3}{x \sqrt{x^{2}-36}} d x
∫
x
x
2
−
36
3
d
x
\newline
Answer:
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Evaluate the integral and express your answer in simplest form.
\newline
∫
−
2
1
−
25
x
2
d
x
\int \frac{-2}{\sqrt{1-25 x^{2}}} d x
∫
1
−
25
x
2
−
2
d
x
\newline
Answer:
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∫
cot
x
9
sin
2
x
−
1
d
x
\int \frac{\cot x}{\sqrt{9\sin^{2}x-1}} \, dx
∫
9
s
i
n
2
x
−
1
c
o
t
x
d
x
Get tutor help
Evaluate
∫
3
4
2
x
2
−
15
x
+
22
x
−
5
d
x
\int_{3}^{4} \frac{2 x^{2}-15 x+22}{x-5} d x
∫
3
4
x
−
5
2
x
2
−
15
x
+
22
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
2
3
4
x
2
−
15
x
−
3
x
−
4
d
x
\int_{2}^{3} \frac{4 x^{2}-15 x-3}{x-4} d x
∫
2
3
x
−
4
4
x
2
−
15
x
−
3
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
3
4
4
x
2
−
9
x
+
1
x
−
2
d
x
\int_{3}^{4} \frac{4 x^{2}-9 x+1}{x-2} d x
∫
3
4
x
−
2
4
x
2
−
9
x
+
1
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
5
7
2
x
2
−
17
x
+
5
x
−
8
d
x
\int_{5}^{7} \frac{2 x^{2}-17 x+5}{x-8} d x
∫
5
7
x
−
8
2
x
2
−
17
x
+
5
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
3
6
2
x
2
−
9
x
+
12
x
−
2
d
x
\int_{3}^{6} \frac{2 x^{2}-9 x+12}{x-2} d x
∫
3
6
x
−
2
2
x
2
−
9
x
+
12
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
4
e
3
+
3
2
x
−
5
x
−
3
d
x
\int_{4}^{e^{3}+3} \frac{2 x-5}{x-3} d x
∫
4
e
3
+
3
x
−
3
2
x
−
5
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
3
9
2
x
2
−
13
x
+
15
x
−
2
d
x
\int_{3}^{9} \frac{2 x^{2}-13 x+15}{x-2} d x
∫
3
9
x
−
2
2
x
2
−
13
x
+
15
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
1
5
2
x
2
−
15
x
−
28
x
−
9
d
x
\int_{1}^{5} \frac{2 x^{2}-15 x-28}{x-9} d x
∫
1
5
x
−
9
2
x
2
−
15
x
−
28
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
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Evaluate
∫
5
10
2
x
2
−
13
x
+
19
x
−
4
d
x
\int_{5}^{10} \frac{2 x^{2}-13 x+19}{x-4} d x
∫
5
10
x
−
4
2
x
2
−
13
x
+
19
d
x
. Write your answer in simplest form with all logs condensed into a single logarithm (if necessary).
Get tutor help
Evaluate the integral.
\newline
∫
8
e
(
8
sin
7
x
)
sec
7
x
d
x
\int \frac{8e^{(8\sin 7x)}}{\sec 7x}\,dx
∫
s
e
c
7
x
8
e
(
8
s
i
n
7
x
)
d
x
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∫
(
16
x
−
20
)
d
x
4
x
2
−
12
x
+
10
\int \frac{(16x-20)\,dx}{4x^{2}-12x+10}
∫
4
x
2
−
12
x
+
10
(
16
x
−
20
)
d
x
Get tutor help
∫
(
16
x
−
20
4
x
2
−
12
x
+
10
)
d
x
\int\left(\frac{16x-20}{4x^{2}-12x+10}\right)dx
∫
(
4
x
2
−
12
x
+
10
16
x
−
20
)
d
x
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
5
x
+
1
)
d
x
\int(5 x+1) d x
∫
(
5
x
+
1
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
2
+
4
x
5
−
x
−
3
)
d
x
\int\left(-2+4 x^{5}-x^{-3}\right) d x
∫
(
−
2
+
4
x
5
−
x
−
3
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
6
x
−
3
−
5
x
4
)
d
x
\int\left(6 x^{-3}-5 x^{4}\right) d x
∫
(
6
x
−
3
−
5
x
4
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
6
x
5
−
x
)
d
x
\int\left(-6 x^{5}-x\right) d x
∫
(
−
6
x
5
−
x
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
6
x
2
+
3
x
+
2
x
3
)
d
x
\int\left(-6 x^{2}+3 x+2 x^{3}\right) d x
∫
(
−
6
x
2
+
3
x
+
2
x
3
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
6
x
3
+
5
−
x
−
3
)
d
x
\int\left(6 x^{3}+5-x^{-3}\right) d x
∫
(
6
x
3
+
5
−
x
−
3
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
6
x
4
−
6
+
5
x
5
)
d
x
\int\left(6 x^{4}-6+5 x^{5}\right) d x
∫
(
6
x
4
−
6
+
5
x
5
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
2
x
2
+
5
)
d
x
\int\left(-2 x^{2}+5\right) d x
∫
(
−
2
x
2
+
5
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
x
−
3
−
6
)
d
x
\int\left(-x^{-3}-6\right) d x
∫
(
−
x
−
3
−
6
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
x
+
2
x
5
)
d
x
\int\left(-x+2 x^{5}\right) d x
∫
(
−
x
+
2
x
5
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
6
+
2
x
−
2
−
2
x
)
d
x
\int\left(6+2 x^{-2}-2 x\right) d x
∫
(
6
+
2
x
−
2
−
2
x
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
6
+
2
x
5
)
d
x
\int\left(-6+2 x^{5}\right) d x
∫
(
−
6
+
2
x
5
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
x
−
2
−
4
x
3
)
d
x
\int\left(x^{-2}-4 x^{3}\right) d x
∫
(
x
−
2
−
4
x
3
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
2
x
2
−
3
x
4
+
5
x
−
3
)
d
x
\int\left(2 x^{2}-3 x^{4}+5 x^{-3}\right) d x
∫
(
2
x
2
−
3
x
4
+
5
x
−
3
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
2
x
2
+
5
x
5
)
d
x
\int\left(2 x^{2}+5 x^{5}\right) d x
∫
(
2
x
2
+
5
x
5
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
2
+
5
x
4
)
d
x
\int\left(-2+5 x^{4}\right) d x
∫
(
−
2
+
5
x
4
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
−
2
x
−
3
−
4
x
4
)
d
x
\int\left(-2 x^{-3}-4 x^{4}\right) d x
∫
(
−
2
x
−
3
−
4
x
4
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
3
x
4
−
2
−
5
x
)
d
x
\int\left(3 x^{4}-2-5 x\right) d x
∫
(
3
x
4
−
2
−
5
x
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
5
x
−
2
−
2
)
d
x
\int\left(5 x^{-2}-2\right) d x
∫
(
5
x
−
2
−
2
)
d
x
\newline
Answer:
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Calculate the integral and write the answer in simplest form.
\newline
∫
(
x
−
2
+
3
x
3
)
d
x
\int\left(x^{-2}+3 x^{3}\right) d x
∫
(
x
−
2
+
3
x
3
)
d
x
\newline
Answer:
Get tutor help
Calculate the integral and write the answer in simplest form.
\newline
∫
(
3
+
6
x
−
3
)
d
x
\int\left(3+6 x^{-3}\right) d x
∫
(
3
+
6
x
−
3
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
x
(
x
−
4
)
(
2
x
+
5
)
d
x
\int x(x-4)(2 x+5) \mathrm{d} x
∫
x
(
x
−
4
)
(
2
x
+
5
)
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
4
x
3
+
6
x
−
8
x
3
d
x
\int \frac{4 x^{3}+6 x-8}{x^{3}} \mathrm{~d} x
∫
x
3
4
x
3
+
6
x
−
8
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
28
x
4
−
12
x
3
−
2
x
2
x
d
x
\int \frac{28 x^{4}-12 x^{3}-2 x^{2}}{x} \mathrm{~d} x
∫
x
28
x
4
−
12
x
3
−
2
x
2
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
8
x
3
+
7
x
2
−
1
x
2
d
x
\int \frac{8 x^{3}+7 x^{2}-1}{x^{2}} \mathrm{~d} x
∫
x
2
8
x
3
+
7
x
2
−
1
d
x
\newline
Answer:
Get tutor help
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