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The value of int1^e((tan^(-1)x)/x+(logx)...

The value of `int_1^e((tan^(-1)x)/x+(logx)/(1+x^2))dx ,is` (a) `tane` (b) `tan^(-1)e` (c)`tan^(-1)(1/e)` (d) none of these

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CENGAGE ENGLISH-INTEGRALS-All Questions
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  2. The equation of the curve is y=f(x)dot The tangents at [1,f(1),[2,f(2...

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

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  4. If f(pi) = 2 int0^pi (f(x)+f^(x)) sinx dx=5, then f(0) is equal to (it...

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

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

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

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

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  13. Ifinta^b|sinx|dx=8a n dint0^(a+b)|cosx|dx=9,t h e n (a) a+b=(9pi)/2 ...

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

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

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

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

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

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  19. Ifg(x)=int0^x2|t|dt,then (a)g(x)=x|x| (b)g(x) is monotonic (c) g(x...

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  20. Prove that the value of the integral, int(0)^(2a)(f(x))/(f(x)+f(2a-x)...

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