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int(2016)^(2017)(sqrt(x))/(sqrt(x)+sqrt(...

`int_(2016)^(2017)(sqrt(x))/(sqrt(x)+sqrt(4033-x))dx` is equal to

A

`1/4`

B

`3/2`

C

`2017/2`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
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  2. int2^8 sqrt(10-x)/(sqrtx+sqrt(10-x))dx

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  3. int(2016)^(2017)(sqrt(x))/(sqrt(x)+sqrt(4033-x))dx is equal to

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  4. int(pi//4)^(3pi//4)(dx)/(1+cosx) is equal to

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  5. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

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  6. The value of int(-pi//2)^(pi//2)(1)/(e^(sinx)+1) dx is equal to

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  8. The value of the integral I = int(1//2014)^(2014)(tan^(-1) x)/x dx is

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  9. The value of the definite integral 1/pi int(pi/2)^((5pi)/2) e^(tan^(-...

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  10. If f(x)=f(pi+e-x) and inte^pif(x)dx=2/(e+pi), then inte^pi xf(x)dx is ...

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  11. The value of int(pi//4)^(3pi//4)(phi)/(1+sinphi)d phi is

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  12. Let I(1) =int(a)^(pi-a)xf(sinx)dx,I(2)=int(a)^(pi-a)f(sinx)dx, then I(...

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  13. If f(x)=(e^(2))/(1+e^(x)),I(1)=overset(f(a))underset(f(-a))int xg{x(1-...

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  14. Q. int0^pi(e^(cos^2x)( cos^3(2n+1) x dx, n in I

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  15. int0^pi x f(sin x)dx is equal to

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  16. If I(1)=int(0)^(pi//2)f(sin2x)sin x dx and I(2)=int(0)^(pi//4)f(cos2x)...

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  17. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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  18. int(-1)^(1) sin^(3) x cos^(2) x dx is equal to

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  19. The value of int((pi)/4)/((-pi)/4)sin^(103)x .cos^(101)xdx is

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  20. The value of int- 2^2(xcosx+sinx+1)dx is

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