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If f is an odd function, then evaluate ...

If `f` is an odd function, then evaluate `I=int_(-a)^a(f(sinx)dx)/(f(cosx)+f(sin^2x))`

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To evaluate the integral \[ I = \int_{-a}^{a} \frac{f(\sin x)}{f(\cos x) + f(\sin^2 x)} \, dx \] given that \( f \) is an odd function, we can follow these steps: ...
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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

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  2. The value of int(-a)^a(cos^(- 1)x-sin^(- 1)sqrt(1-x^2))dx is (a>0) t...

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  3. If f is an odd function, then evaluate I=int(-a)^a(f(sinx)dx)/(f(cosx...

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  4. Evaluate : int0^(pi/4)log(1+tanx)dx.

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  5. Evaluate: int(-pi/4)^(pi/4)(x^9-3x^5+7x^3-x+1)/(cos^2x)dx

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  6. Let a+b=4,w h e r ea<2,a n dl e tg(x) be a differentiable function. If...

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  7. Evaluate: int(-pi/2)^(pi/2)log{(a x^2+b x+c)/(a x^2-b x+c)(a+b)|sinx|}...

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  8. If Un=int0^pi(1-cosnx)/(1-cosx)dx , where n is positive integer or zer...

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  9. Evaluate: int(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx

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  10. Find the value of int(-1)^(3/2)|xsinpix|dx

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  11. Evaluate: int(-pi/2)^(pi/2)sin^2xcos^2x(sinx+cosx)dx

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  12. int(-1)^2[([x])/(1+x^2)]dx ,w h e r e[dot] denotes the greater integer...

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  13. Evaluate: inta^b cos x dx

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  14. Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in R....

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  15. Evaluate: ("lim")(n to oo)((1^2+2^2+3^3++n^2)(1^3+2^3+3^3++n^3))/(1^6+...

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  16. ifint(dx)/(x^2(x^n+1)^(((n-1)/n))=-[f(x)]^(1/n)+c ,t h e nf(x)i s (1+...

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  17. Evaluate the definite integrals as limit of sums int1^2x^2dx

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  18. Evaluate: inta^bsinx dx using limit of sum

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  19. int(-3)^3 x^8{x^11}dx

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  20. Evaluate: inta^b e^x dx using limit of sum

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