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Evaluate: int(-pi/2)^(pi)sin^(-1)(sinx)d...

Evaluate: `int_(-pi/2)^(pi)sin^(-1)(sinx)dx`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. int(-1)^2|x^3-x|dxdot

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  2. If f(x) is integrable over [1,2], then int1^2f(x)dx is equal to (a) ...

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  3. Evaluate: int(-pi/2)^(pi)sin^(-1)(sinx)dx

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  4. The value of int0^(pi/4)sin2xdx is

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  5. Let: an=int0^(pi/2)(1-sint)^nsin2tdt Then find the value of lim(n->o...

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  6. Q. int0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

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  7. Prove that int0^(102)(x-1)(x-2)..(x-100)xx(1/(x-1)+1/(x-2)+.... .+ 1/...

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  8. Let f : [0,2] rarr R be a function which is continuous on [0 , 2] and ...

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  9. Evaluate: int0^1(1)/((1+x^2)sqrt(1-x^2))dx

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

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  11. Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx

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  12. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx= pi^2

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  13. Prove that 1 lt underset(0)overset(2)int((5-x)/(9-x^(2)))dx lt 6/5

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  14. If the difference between the roots of the equation x^2+""a x""+""1...

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  15. If m is the least value (global minimum) and M is the greatest value (...

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  16. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  17. Show that inta^b(|x|)/x dx=|b|-|a|dot

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  18. The value of (pi^2)/(1n3)int(7/6)^(5/6)sec(pix)dxi s

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  19. Let: f(x)=int0^x|2t-3|dtdot Then discuss continuity and differentiabil...

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  20. If inta^b(f(x)-3x)dx=a^2-b^2 then the value of f(pi/6) is

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