Evaluate the integral. intx^(2)(2x-5)^(2)dx Answer:

Integrate 4x^4: Now we integrate each term separately: ∫4x^4dx = (4/5)x^5 ∫(-20x^3)dx = (-20/4)x^4 = -5x^4 ∫25x^2dx = (25/3)x^3 Adding these results together gives us the antiderivative: (4/5)x^5 - 5x^4 + (25/3)x^3 + C where C is the constant of integration.

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Evaluate the integral.

intx^(2)(2x-5)^(2)dx
Answer:

Evaluate the integral. $\newline$ $\int x^{2}(2 x-5)^{2} \mathrm{~d} x$ $\newline$ Answer:

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Calculus

Find indefinite integrals using the substitution and by parts

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Q. Evaluate the integral.

\newline

\int x^{2}(2 x-5)^{2} \mathrm{~d} x

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Answer:

Integrate $4x^4$ : Now we integrate each term separately: $\newline$ $\int 4x^4\,dx = \frac{4}{5}x^5$ $\newline$ $\int(-20x^3)\,dx = \frac{-20}{4}x^4 = -5x^4$ $\newline$ $\int 25x^2\,dx = \frac{25}{3}x^3$ $\newline$ Adding these results together gives us the antiderivative: $\newline$ $\frac{4}{5}x^5 - 5x^4 + \frac{25}{3}x^3 + C$ $\newline$ where $C$ is the constant of integration.