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Prove that following: underset(0)overs...

Prove that following:
`underset(0)overset(pi)int(xtanx)/(secx+cosx)dx = (pi^2)/(4)`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Integrate the following: underset(0)overset(pi//2)int(Cos^2x)

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  2. Prove that following: underset(0)overset(pi)int(xtanx)/(secx+Tanx)dx...

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  3. Prove that following: underset(0)overset(pi)int(xtanx)/(secx+cosx)dx...

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  4. Prove that following: underset(0)overset(1)intlog((1)/(x)-1) dx = 0

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  5. Prove that following: underset(0)overset(1)int|x-5|dx

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  6. Prove that following: underset(1)overset(5)intx-3dx.

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  7. Integrate: underset(-5)overset(5)int(x+2)dx

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  8. Prove that following: underset(-3)overset(1)int|x+2|dx

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  9. Evaluate the following integrals: underset(-1)overset(1)intsin^5 x c...

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

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  11. Prove that following: underset(-98)overset(98)int(x^(99)+x^(49)+x^(1...

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  12. Integrate the following: underset(-2)overset(2)intx+1dx

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  13. Prove that following: underset(-4)overset(2)int|x+1|dx

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  14. Prove that following: int(-1)^(1)e^(|x|) dx

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  15. Prove that following: underset(-1)overset(1)int|2x+1|dx

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  16. Prove that following: underset(-1)overset(1)int|2x+1|dx

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  17. Prove that following: underset(0)overset(4)int|x-1| dx

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  18. Prove that following: underset(2)overset(5)int|x-1|dx

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  19. Prove that following: underset(2)overset(7)int|x-5|dx

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  20. Prove that following: underset(1//4)overset(1)int|2x-1|dx

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