Calculate the integral and write the answer in simplest form. int(x^(-2)+3x^(3))dx Answer:

Identify Integrals: We are given the integral of the function x^(-2) + 3x^(3). We will integrate each term separately. The integral of x^(-2) is -x^(-1) or -1/x, and the integral of 3x^(3) is (3/4)x^(4).Integrate Each Term: Now we will write down the integral of each term and add the constant of integration C. The integral of x^(-2) + 3x^(3) with respect to x is: ∫(x^(-2) + 3x^(3))dx = ∫x^(-2)dx + ∫3x^(3)dx = -1/x + (3/4)x^(4) + C

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Calculate the integral and write the answer in simplest form.

int(x^(-2)+3x^(3))dx
Answer:

Calculate the integral and write the answer in simplest form. $\newline$ $\int\left(x^{-2}+3 x^{3}\right) d x$ $\newline$ Answer:

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Calculus

Find indefinite integrals using the substitution

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Q. Calculate the integral and write the answer in simplest form.

\newline

\int\left(x^{-2}+3 x^{3}\right) d x

\newline

Answer:

Identify Integrals: We are given the integral of the function $x^{-2} + 3x^{3}$ . We will integrate each term separately. $\newline$ The integral of $x^{-2}$ is $-x^{-1}$ or $-\frac{1}{x}$ , and the integral of $3x^{3}$ is $\frac{3}{4}x^{4}$ .
Integrate Each Term: Now we will write down the integral of each term and add the constant of integration $C$ . The integral of $x^{-2} + 3x^{3}$ with respect to $x$ is: $\int(x^{-2} + 3x^{3})dx = \int x^{-2}dx + \int 3x^{3}dx = -\frac{1}{x} + \frac{3}{4}x^{4} + C$