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T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3...

`T h ev a l u eofint_0^(pi/2)(dx)/(1+tan^3x)i s` 0 (b) 1 (c) `pi/2` (d) `pi`

A

`0`

B

`1`

C

`(pi)/(2)`

D

`(pi)/(4)`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
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  8. int(cos2x)/((sinx+cosx)^(2))dx is equal to

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

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

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

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

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  19. If l(1)=int(0)^(npi)f(|cosx|)dx and l(2)=int(0)^(5pi)f(|cosx|)dx, then

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  20. Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...

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