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The value of int(0)^(a)(dx)/(x+sqrt((a^(...

The value of `int_(0)^(a)(dx)/(x+sqrt((a^(2)-x^(2)))` is equal to

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`pi`

D

`(pi)/(6)`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Competition level Questions
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  2. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is

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

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  4. int(0)^(pi//2n)(dx)/(1+(tan nx)^(n)) is equal to n in N :

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

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

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

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

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

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

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

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

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  13. The value of int(0)^(2//3)(dx)/(4+9x^(2)) is equal to

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

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

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  16. The value of int(0)^(pi//2)(cosxdx)/(1+cosx+sinx) is equal to

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

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

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  19. Evaluate: int(-pi//2)^(pi//2)1/(1+e^(sin x))dx

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  20. The value of int-pi^pi cos^2x/[1+a^x]dx, a > 0 is

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