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Ingegrate the following with respect to ...

Ingegrate the following with respect to x.
`(i) x^2 e^(5x) " " (ii) x^3 cos x " " (iii) x^3e^-x`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(x^2e^(5x))/(5) - (2xe^(5x))/(25) + (2e^(5x))/(125) + c`.
(ii) `x^3 sin x + 3x^2 cos x + 6x sin x - 6 cos x + c`.
(iii) `-x^3 e^(-x) - 3x^2 e^(-x) - 6xe^(-x) - 6e^(-x) + c`.
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