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int0^(pi//2)1/(1+cot^3x)dx is equal to a...

`int_0^(pi//2)1/(1+cot^3x)dx` is equal to a `0` b. `1` c. `pi//2` d. `pi//4`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. (lim)(n->oo){1/(2n+1)+1/(2n+2)++1/(2n+n)} a. I n\ (1/3) b. I n\ (2/3)...

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  2. The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0

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  3. int0^(pi//2)1/(1+cot^3x)dx is equal to a 0 b. 1 c. pi//2 d. pi//4

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  4. int0^(pi//2)(sinx)/(sin x+cos x)dx equals to a. pi//2 b. pi//4 c. pi//...

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  5. int0^(pi//2)xsinx\ dx is equal to a. pi//2 b. pi//4 c. pi d. 1

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  6. int0^(pi//2)sin2xlogtanx\ dx\ is equal to a. pi//2 b. pi c. 0 d. 2pi

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  7. The value of int0^pi1/(5+3cosx)dx is a. pi//2 b. pi//4 c. 0 d. pi...

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  8. Evaluate:int0^oolog(x+1/x)(dx)/(1+x^2)

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  9. int0^(2a)f(x)dx is equal to a.2int0^af(x)dx b. 0 c. int0^af(x)dx+...

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  10. If f(a+b-x)=f(x),\ t h e n\ inta^b xf(x)dx is equal to a.(a+b)/2inta^...

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  11. The value of int0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is a.1 b. -1 c....

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  12. Choose the correct answer The value of int0pi/2log((4-3sinx)/(4+3cosx)...

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  13. The value of int(-pi//2)^(pi//2)(x^3+x\ cos x+tan^5x+1)dx , is a. 2 b....

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  14. Evaluate the following integral: int0^4x\ sqrt(4-x)\ dx

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  15. Evaluate the following integral: int1^5x/(sqrt(2x-1))dx

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  16. Evaluate the following integral: int0^1tan^(-1)x\ dx

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  17. Evaluate the following integral: int0^1tan^(-1)((2x)/(1-x^2))dx

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  18. Evaluate the following integral: int0^1(1-x)/(1+x)dx

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  19. Evaluate the following integral: int0^(pi//2)(sin^2x)/((1+cos x)^2)dx

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  20. Evaluate the following integral: int0^(pi//2)(cos x)/(1+sin^2x)dx

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