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Evaluate the following integral: int0^(p...

Evaluate the following integral: `int_0^(pi//4)(s in x+cosx)/(3+s in2x)dx`

A

`-(1)/(4)log3`

B

`(1)/(4)log3`

C

`-(1)/(3)log4`

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 the integral int(-pi/2)^(pi//2) sqrt((1+cos2x)/(2))dx is

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

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

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

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

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

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

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  10. about to only mathematics

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

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

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

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

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

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

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  17. The greater value of F(x)=int(1)^(x) |t|dt on the interval [-1//2,1//2...

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  18. The value of the integral int(0)^(pi//2) |sin x-cos x|dx, is

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  19. The value of the integral int(-pi//4)^(pi//4) sin^(-4)x dx, is

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  20. The value of the integral I=int(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))...

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