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The value of the integral int0^oo(xlogx)...

The value of the integral `int_0^oo(xlogx)/((1+x^2)^2)dx ,is` (a)0 (b) log 7 (c) 5 log 13 (d) none of these

A

1

B

0

C

2

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of int(-pi)^(pi) sinx f(cosx)dx is

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  2. If a lt int(0)^(2pi) (1)/(10+3 cos x)dx lt b. Then the ordered pair (a...

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  3. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...

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  4. The value of the integral int(-pi//2)^(pi//2) sqrt(cosx-cos^(2)x)dx is

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  5. The value of the integral int(-pi/2)^(pi//2) sqrt((1+cos2x)/(2))dx is

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  6. Let I(1)=int(1)^(2)(x)/(sqrt(1+x^(2)))dx and I(2)=int(1)^(2)(1)/(x)dx....

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  7. Evaluate the following integral: int0^(pi//4)(s in x+cosx)/(3+s in2x)d...

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  8. The value of the integral int(0)^(pi//4) (sin theta+cos theta)/(9+16 s...

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  9. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin x^3dx=F(k)-F...

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  10. If I=int(-1)^(1)([x^(2)]+log((2+x)/(2-x)))dx where [x] denotes the gre...

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  11. The value of int(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal t...

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  12. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

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  13. The value of I=int(0)^(pi//2) (1)/(1+cosx)dx is

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  14. about to only mathematics

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  15. The value of integral underset(a)overset(b)int(|x|)/(x)dx, a lt b is :

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  16. The value of the integral int(0)^(2pi)(sin2 theta)/(a-b cos theta)d ...

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  17. The value of the integral I=int(0)^(1)x(1-x)^(n)dx is equal to

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  18. The value of the integral int(0)^(3alpha) cosec (x-alpha)cosec(x-2al...

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  19. The value of the integral int(0)^(pi)(sin 2k x)/(sin x)dx, where k in...

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  20. The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to si...

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