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Determine a positive integer n such that...

Determine a positive integer `n` such that `int_0^(pi/2)x^nsinx dx=3/4(pi^2-8)`

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  6. Let intx^(x+p)f(t)dt be independent of xa n dI1=int0^pf(t)dt ,I2=int(1...

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  8. If the function f : [0,8] to R is differentiable, then for 0 < alpha...

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  9. The value of int0^1(x^4(1-x)^4)/(1+x^2)dx is/are (a)(22)/7-pi (b)...

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  10. Let intx^(x+p)f(t)dt be independent of xa n dI1=int0^pf(t)dt ,I2=int(1...

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  11. Evaluate:int-pi^pi ((2x)(1+sinx)/(1+cos^2x))dx

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  15. int(5/2)^5(sqrt((25-x^2)^3))/(x^4)dx is equal to

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  16. The value of int0^((3pi)/2)(|tan^(-1)(tanx)|-|sin^(-1)(sinx)|)/(|tan^(...

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  18. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

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  19. int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...

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