Evaluate the integral. int(28x^(3)+6x^(2))dx Answer:

Given integral: We are given the integral to evaluate: int(28x^(3)+6x^(2))dx We will integrate term by term.Integrating 28x^3: The integral of 28x^3 with respect to x is: int(28x^(3))dx = (28/4)x^(3+1) = 7x^4Integrating 6x^2: The integral of 6x^2 with respect to x is: int(6x^(2))dx = (6/3)x^(2+1) = 2x^3Adding integrals and constant: Now we add the two integrals together and include the constant of integration C: 7x^4 + 2x^3 + C

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Evaluate the integral.

int(28x^(3)+6x^(2))dx
Answer:

Evaluate the integral. $\newline$ $\int\left(28 x^{3}+6 x^{2}\right) d x$ $\newline$ Answer:

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Find indefinite integrals using the substitution

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Q. Evaluate the integral.

\newline

\int\left(28 x^{3}+6 x^{2}\right) d x

\newline

Answer:

Given integral: We are given the integral to evaluate: $\int(28x^{3}+6x^{2})dx$ We will integrate term by term.
Integrating $28x^3$ : The integral of $28x^3$ with respect to $x$ is: $\int(28x^{3})dx = \left(\frac{28}{4}\right)x^{3+1} = 7x^4$
Integrating $6x^2$ : The integral of $6x^2$ with respect to $x$ is: $\newline$ $\int(6x^{2})dx = \left(\frac{6}{3}\right)x^{2+1} = 2x^3$
Adding integrals and constant: Now we add the two integrals together and include the constant of integration $C$ : $7x^4 + 2x^3 + C$