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intcossqrt(x)dx=?...

`intcossqrt(x)dx=?`

A

`sinsqrt(x)+cossqrt(x)+C`

B

`(1)/(2)(sqrt(x)sinsqrt(x)-cossqrt(x))+C`

C

`2[sqrt(x)sinsqrt(x)+cossqrt(x)]+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Putting `sqrt(x)=t and(1)/(sqrt(x))dx=2dt", we get "dx=2tdt`
`:." "I=2intunderset(I)(t)underset(II)(cost)dt`.
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