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int(0)^((pi)/(2))(sqrt(cotx)dx)/(sqrt(co...

`int_(0)^((pi)/(2))(sqrt(cotx)dx)/(sqrt(cotx)+sqrt(tanx))`

A

`pi`

B

`(pi)/(2)`

C

`(pi)/(4)`

D

`(pi)/(3)`

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The value of the integral int_(0)^(pi//2)(sqrt(cotx))/(sqrt(cotx)+sqrt(tanx))dx is

sqrt(1+cotx)

Evaluate the following integral: int_0^(pi//2)(sqrt(cotx))/(sqrt(cotx\ )+sqrt(tanx))dx

int_(0)^(pi//2)(sqrt(cotx))/((1+sqrt(cotx)))dx=?

Evaluate the following : int_(0)^(pi//2)(sqrt(tanx))/(sqrt(tanx)+sqrt(cotx))dx

(2cotx)/(sqrt(x))

int_(0)^(pi//2)(sqrt(tanx)+sqrt(cotx))\ dx

Prove that : int_(0)^(pi//2) (sqrt(tanx))/(sqrt(tanx +sqrt(cotx)))dx=(pi)/(4)

Prove that: int_(0)^((pi)/(4))(sqrt(tan x)+sqrt(cot x)dx=sqrt(2)*(pi)/(2)

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

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  2. Evaluate: intsqrt(x^(2)+2x+5)dx

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  3. int(0)^((pi)/(2))(sqrt(cotx)dx)/(sqrt(cotx)+sqrt(tanx))

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  4. The value of int(0)^(pi//2)(dx)/(1+tan^(3)x) is

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

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

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

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

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  9. int (pi//4)^(pi//2) "cosec"^(2)dx is equal to

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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|le2),(2, otherwise):} then int-2^3f(x)dx= (...

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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. The value of int(-pi//2)^(pi//2)(1)/(e^(sinx)+1) dx is equal to

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  20. If a gt 0, then the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx is e...

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