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If intf(x)dx=xcospix+C, then f((1)/(2))=...

If `intf(x)dx=xcospix+C`, then `f((1)/(2))=`

A

`0`

B

`pi`

C

`-(pi)/(2)`

D

`(pi)/(2)`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
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  3. If intf(x)dx=xcospix+C, then f((1)/(2))=

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  8. The value of int(0)^(a)(dx)/(x+sqrt((a^(2)-x^(2))) is equal to

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  10. The value of int(0)^(pi//2)(asinx+bcosx)/(sinx+cosx)dx is equal to

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  11. int(cos2x)/((sinx+cosx)^(2))dx is equal to

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  12. int(-1)^(1)x^(17)cos^(4) x dx is equal to

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  13. int (pi//4)^(pi//2) "cosec"^(2)xdx is equal to

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  14. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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  15. Let f : R -> R and g : R -> R be continuous functions. Then the value...

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  16. The value of int(0)^(pi//2)logsinxdx is equal to

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  17. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

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  19. The value of int(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

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  20. int0^1 sqrt((1-x)/(1+x)) dx

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