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Evaluate the following: underset0overset...

Evaluate the following:
`underset0overseta int x^2(a-x)^(3//2)dx`

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. By using properties of definite integrals, evaluate the following: und...

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  2. Evaluate the following:underset0overset3 int x^2(3-x)^(1//2)dx

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  3. Evaluate the following: underset0overseta int x^2(a-x)^(3//2)dx

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  4. Evaluate the following: underset0overset(pi//2)int x/(sinx+cosx)dx

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  5. Evaluate the following: underset0oversetpi int (xtanx)/(secxcosecx)dx

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  6. Evaluate the following: underset0oversetpi int (xtanx)/(secx+tanx)dx

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  7. Evaluate the following: underset0overset(pi//2)int (sin^2x)/(sinx+cosx...

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  8. Evaluate the following: underset0overset(pi//2)int (sinx-cosx)/(1+sinx...

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  9. Evaluate the following: underset0overset(pi//2)int log(tanx)dx

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  10. Evaluate the integrals underset0overset(pi/4) int (log(1+tanx))dx

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  11. underset0overset(pi/2)int cos^6xdx.

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  12. underset0overset(pi//2)int sin^2xcos^2x dx

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  13. Evaluate the following: underset0 overseta int(dx)/(x+sqrt(a^2-x^2))

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  14. Evaluate the following: underset0oversetpi int (xdx)/(1+cos^2x)

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  15. Prove that underset0overset(pi//2)int log(sintheta)dtheta=underset0ove...

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  16. Evaluate the following: underset0overset(pi//2)int (2logsinx-logsin2x)...

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  17. Evalaute: underset(0)overset(1)intx(tan^-1x)^2dx

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  18. Evaluate the following: underset0overset1 int (cos^-1x)^2dx

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  19. Evaluate the following: underset0overset1 int x(tan^-1x)^2dx.

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  20. If f is periodic with period p, prove that undersetpoverset(np)int f(x...

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