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Solution - evaluate : ∫x cosx dx - Indefinite Integration - Integration by Parts

Question

evaluate : `int xcosxdx`

Solution

`"Let " I=int x cosx dx`

integrating by parts

`I=x int cosx dx-int[d/dx(x)int cosxdx]dx`

`=xsinx-int(sinx)dx+c`

`=xsinx-(-cosx)+c`

`=xsinx+cosx+c`

Is there an error in this question or solution?

APPEARS IN

2014-2015 (March)
Question 1.8 | 2 marks

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