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Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"th...

`Ifint_(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto"` 4 (b) 1n 8 (c) 1n 4 (d) none of these

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

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  2. int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...

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  3. Ifint(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" 4 (b) ...

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  4. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

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  5. Which of the following is incorrect? int(a+ c)^(b+c)f(x)dx=inta^bf(x...

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  6. The value of the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n i...

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  7. Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

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  8. int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logx dx is equal to (a) -pi/2logpi (...

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  9. If f(x)="cos"(tan^(-1)x), then the value of the integral int0^1xf''(x)...

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  10. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2)...

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  11. The value of int1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is (a) tane (b)...

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  12. If f(pi) = 2 and int0^pi (f(x)+f^('')(x)) sinx dx=5, then f(0) is equa...

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  13. If int1^2e^(x^2)dx=a ,t h e ninte^(e^4)sqrt(1n x)dx is equal to (a)...

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  14. int(-pi/2)^(pi/2)(e^(|sinx|)cosx)/(1+e^(tanx))dx is equal to (a) e...

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  15. The value of the expression (int0^a x^4(sqrt(a^2-x^2))dx)/(int0^a x^2(...

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  16. IfA=int0^pi(cosx)/((x+2)^2)dx ,t h e nint0^(pi/2)(sin2x)/(x+1)dx is eq...

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  17. int0^4((y^2-4y+5)sin(y-2)dy)/([2y^2-8y+11]) is equal to (a) 0 (b) 2 ...

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  18. The values of a for which the integral int0^2|x-a|dxgeq1 is satisfie...

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  19. evaluate: I=int(2x)/((x^2+1)(x^2+3))dx is

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  20. Let I=int1^3sqrt(3+x^3)dx , then the value of I will lie in the inte...

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