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Prove that inta^bf(x)dx=int(a+c)^(b+c)f(...

Prove that `int_a^bf(x)dx=int_(a+c)^(b+c)f(x-c)dx` , and when `f(x)` is odd function, `int_(-a)^af(x)dx=0`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  3. 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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  6. Evaluate : int0^(pi/4)(sinxcosx)/(sin^4x+cos^4x)\ dx

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

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

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

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

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

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