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`underset0overset1int (tan^-1xdx)`

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. underset0overset(pi//2)int dx/(a^2cos^2x+b^2sin^2x)

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  2. underset0overset(pi//4)int (sin^2xcos^2x)/(sin^3x+cos^3x)^2dx

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  3. underset0overset1int (tan^-1xdx)

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  4. underset0oversetinftyint (xtan^-1x)/(1+x^2)dx

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  5. underset1overset2int (dx)/((x+1)sqrt(x^2-1))

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  6. underset0overset(1//2)int (dx)/((1+x^2)sqrt(1-x^2))

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  7. Evaluate the following integrals by changing the limits of integration...

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  8. Evaluate the following integrals by changing the limits of integration...

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  9. underset0 oversetpi int(dx)/(3+2sinx+cosx)

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  10. Evaluate: underset(0)overset(pi//2)int(sinx)/(sinx+cosx)dx

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  11. underset0oversetaint (dx)/(a^2+ax-x^2)

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  12. If underset0oversetaint sqrtx dx=2a underset0overset(pi//2)int sin^3xd...

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  13. Prove that: underset0overset(pi/4)int (sqrttanx+sqrtcotx)dx=pi/sqrt2

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  14. Prove that underset0oversetaint f(x)dx=underset0overseta int f(a-x)dx.

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  15. Prove that : underset(0)overset(2a)intf(x) dx = underset(0)overset(2a)...

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  16. By using properties of definite integrals, evaluate the following: und...

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  17. By using properties of definite integrals, evaluate the following: und...

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  18. By using properties of definite integrals, evaluate the following: und...

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  19. By using properties of definite integrals, evaluate the following: und...

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  20. Evaluate the following: underset(-pi//4)overset(pi//4)int|sinx|dx

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