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Integrate the following respect to x. ...

Integrate the following respect to x.
(i) x log x (ii) `27 x^2e^(3x)` (iii) `x^2cos x` (iv) `x^3sin x `

Text Solution

Verified by Experts

The correct Answer is:
(i) `x^2/2log|x|-x^2/4+c`
(ii) `e^(3x)[9x^2-6x+2]+c`
`x^2 sin x + 2x cos x - 2 sin x +c`
(iv) `-x^3cos x + 3x^2sinx + 6x cos x -6 sinx + c`
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