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If int(a)^(b)|sin|dx=8& int(0)^(a+b)|cos...

If `int_(a)^(b)|sin|dx=8`& `int_(0)^(a+b)|cosx|dx=9` ten

A

`a+b=9pi`

B

`b-a=4pi`

C

`int_(a)^(b)x sin x dx = 2 sqrt (2)pi`

D

`int_(a)^(b) x si x dx =-2sqrt(pi)`

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Verified by Experts

The correct Answer is:
B, D
`:. Int_(0)^(pi) sin x dx =2`
`implies b-a=4pi`
`int_(0)^(a+b) cos x dx= 9`
`implies a+b=(9pi)/2`
`:. a=(pi)/4` & `b=(7pi)/4`
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