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Ifint0^(npi)f(cos^2x)dx=kint0^pif(cos^2x...

`Ifint_0^(npi)f(cos^2x)dx=kint_0^pif(cos^2x)dx ,t h e nfin dt h ev a l u ekdot`

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Ifint_0^(npi)f(cos^2x)dx=kint_0^pif(cos^2x)dx , then find the value of k

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

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Ifint_(-pi)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx)=kint_(-pi/2)^(pi/2)secx dx ,t h e nt h ev a l u eofki s 1/2 (b) 1/(sqrt(2)) (c) 1/(2sqrt(2)) (d) -1/(sqrt(2))

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Ifx=int_0^y(dt)/(sqrt(1+9t^2))a n d(d^2y)/(dx^2)=a y ,t h e nfin da

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: intcos^3xe^(logsinx)dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If P(x) is a polynomial of the least degree that has a maximum equal t...

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  17. Evaluate: int0^pixlogsinxdx

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  18. The value of the definite integral int0^(sqrt(1n(pi/2)))cose^(x^(2)...

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  19. Evaluate: int0^(π/2)cos2x+4sin2x cos2xdx

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  20. T h ev a l u eofint1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dxi...

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