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The primitive of the function f(x)= x | ...

The primitive of the function `f(x)= x | cos x|`, when `pi/2 lt x lt pi` is given by

A

`cos x + x sin x +C`

B

`-cos x - x sin x +C`

C

`x sin x - cos x +C`

D

None of the above

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise (Single Option Correct Type Questions)
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  11. int tan^(4)x dx = A tan^(3) x+ B tan x + f(x), then

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  13. Prove that : sin(9-theta\)=cos(81+theta)

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  15. int(dx)/(cos(2x)cos(4x))=

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  16. int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C, then f(x)...

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  17. Evaluate int(sin^(3)xdx)/((cos^(4)x+3cos^(2)x+1)tan^(-1)(secx+cosx)).

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  18. The primitive of the function f(x)= x | cos x|, when pi/2 lt x lt pi i...

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  19. The primitive of the function f(x)=(2x+1)|sin x|, when pi lt x lt 2 p...

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  20. int (cosx+sinx) dx is equal to :

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