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

Evaluate:`int_0^oolog(x+1/x)(dx)/(1+x^2)`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. int0^(pi//2)sin2xlogtanx\ dx\ is equal to a. pi//2 b. pi c. 0 d. 2pi

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Evaluate the following integrals: int0^1sqrt((1-x)/(1+x))dx

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  17. Evaluate the following integral: int0^(pi//4)cos^4xsin^3x\ dx

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  18. Evaluate the following integral: int0^(pi//2)x^2cos2x\ dx

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  19. Evaluate the following integral: int2^4(x^2+x)/(sqrt(2x+1))dx

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  20. int0^1(cos^(- 1)x)^2dx

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