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Evaluate: int(-pi/2)^(pi/2)log{(a x^2+b ...

Evaluate: `int_(-pi/2)^(pi/2)log{(a x^2+b x+c)/(a x^2-b x+c)(a+b)|sinx|}dx`

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

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  2. 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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  3. 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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  4. If Un=int0^pi(1-cosnx)/(1-cosx)dx , where n is positive integer or zer...

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

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

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

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

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  9. Evaluate: inta^b cos x dx

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

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  11. 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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  12. 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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  13. Evaluate the definite integrals as limit of sums int1^2x^2dx

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

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

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

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  17. The value of int(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes the...

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  18. Evaluate: lim(n->oo)(((n+1)(n+2)...(n+n))^(1/n))/n

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  19. If g(x)=int0^x(|sint|+|cost|)dt ,then g(x+(pin)/2) is equal to, where...

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  20. Evaluate: lim(n->oo)[1/(n a)+1/(n a+1)+1/(n a+2)++1/(n b)]

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