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If f(x)="cos"(tan^(-1)x), then the value...

If `f(x)="cos"(tan^(-1)x),` then the value of the integral `int_0^1xf''(x)dx" is"` (a) `(3-sqrt(2))/2` (b) `(3+sqrt(2))/2` (c) `1` (d) `1-3/(2sqrt(2))`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

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

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

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

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

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

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

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

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

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

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

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

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  15. about to only mathematics

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  16. If f(x)={0 ,where x=n/(n+1),n=1,2,3.... and 1 else where then the va...

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  17. The function f and g are positive and continuous. If f is increasing a...

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  18. A Function f(x) satisfies the relation f(x)=e^x+int0^1e^xf(t)dtdot T...

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  19. Let f(x) be positive, continuous, and differentiable on the interval ...

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  20. Letf: (0,oo)->R andF(x^3)=int0^ (x^3)f(t)dt, if F(x^3)=x^3(x^2+x+1).Th...

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