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Evaluate: int0^pi(x dx)/(1+cosalphasinx...

Evaluate: `int_0^pi(x dx)/(1+cosalphasinx),w h e r e0ltalphaltpidot`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Prove that inta^bf(x)dx=int(a+c)^(b+c)f(x-c)dx , and when f(x) is odd ...

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  2. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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  3. Evaluate: int0^pi(x dx)/(1+cosalphasinx),w h e r e0ltalphaltpidot

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  4. Evaluate : int0^(pi/4)(sinxcosx)/(sin^4x+cos^4x)\ dx

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  5. A periodic function with period 1 is integrable over any finite interv...

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  6. Evaluate: intcos^3xe^(logsinx)dx

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  7. The value of the integral int(-(3pi)/4)^((5pi)/4)((sinx+cosx)/(e^(x-pi...

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  8. Ifint0^(npi)f(cos^2x)dx=kint0^pif(cos^2x)dx ,t h e nfin dt h ev a l u ...

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  9. int(2-a)^(2+a)f(x)dx is equal to [where f(2-alpha)=f(2+alpha) AAalpha ...

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  10. Evaluate: int0^a(dx)/(x+sqrt((a^2-x^2)))orint0^(pi/2)(d theta)/(1+tant...

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  11. Suppose that F(x) is an anti derivative of f(x)=(sinx)/x, where xgt0. ...

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  12. Evaluate: int(-pi)^pi(xsinx dx)/(e^x+1)

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  13. Ifint0^1cot^(-1)(1-x+x^2)dx=lambdaint0^1tan^(-1)x dx ,then lambda is e...

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  14. Show that int0^(pi/2)sqrt((sin2theta))sintheta d theta=pi/4

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  15. The number of positive continuous f(x) defined in [0,1] for with I(1)=...

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  16. int 0^(pi/2) (sin^2x)/(sinx+cosx)dx

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  17. The value of the definite integral int0^(pi/2)sqrt(tanx)dx is (a) s...

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  18. For theta in (0,pi/2), prove that int0^theta"log"(1+tanthetatanx)dx=th...

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  19. A function f is defined by f(x)=1/(2^(r-1)),1/(2^r)ltxlt=1 (2^(r-1)),...

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  20. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

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