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Evaluate the definite integrals : unde...

Evaluate the definite integrals :
`underset(0)overset(pi/2)int sin 2x tan^-1(sinx)dx`

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the definite integrals underset0overset1 int (dx)/(sqrt(1+x)-...

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  2. Evaluate the following integrals :underset(0)overset(pi//4)int(sinx+Co...

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  3. Evaluate the definite integrals : underset(0)overset(pi/2)int sin 2x...

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  4. Evaluate the definite integrals : underset(0)overset(pi)int(xtanx)/(...

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  5. Evaluate the definite integrals : underset(1)overset(4)int|x-1|+|x-2...

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  6. Prove that following: underset(1)overset(3)int(dx)/(x^2(x+1))=2/3 + ...

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  7. Prove that following: underset(0)overset(1)int xe^x dx = 1

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  8. Prove that following: underset(-1)overset(1)intx^(17) cos^4xdx

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  9. underset0overset(pi//2)int sin^3xdx

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  10. underset0 overset(pi//4)int 2tan^3 xdx

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  11. Prove that following: underset(0)overset(1)intsin^-1xdx = (pi/2)-1

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  12. Evaluate underset(0)overset(1)inte^(2-3x) dx as a limit of a sum.

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  13. int (dx)/(e^x+e^(-x)) is equal to:

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  14. int ((cos2x)/(sinx+cosx)^2) dx is equal to:

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  15. If f(a+b-x)=f(x), then prove that underseta oversetbint xf(x)dx=(a+b)/...

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  16. The value of int0^1 tan^(-1) ((2x-1)/(1+x-x^2))dx is:

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  17. Fill ups: int(sinx)/(cos^2x)dx is equal to…………….. .

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  18. Find : int(sin^(6)x)/(cos^(8)x)dx.

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  19. Fill ups: int e^(-3logx)dx is equal to………… .

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  20. Find: int xe^x dx

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