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

Prove that following:
`int_(-1)^(1)e^(|x|) dx`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Integrate the following: underset(-2)overset(2)intx+1dx

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

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

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

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

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

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

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

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

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  10. Prove that following: underset(0)overset(pi)int|cosx|dx

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  11. Prove that following: underset(0)overset(pi//2)int|sinx cos x|dx

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  12. Prove that following: underset(-1)overset(3//2)int|xsin pi x| dx

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  13. Prove that following: underset(1)overset(3)intf(x) dx when f(x) = |x...

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  14. Prove that following: underset(2)overset(5)intf(x)dx When f(x) = |x-...

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  15. Prove that following: underset(-pi//2)overset(pi//2)int(2sin |x| + c...

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  16. Prove that following: underset(-1)overset(1)int(x-[x])dx

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  17. Prove that following: underset(1)overset(4)intf(x)dx, where f(x) ={ ...

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  18. Prove that following: underset(0)overset(9)intf(x) dx, where f(x) = ...

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  19. Evaluate: underset(0)overset(pi)int(xtanx)/(secx+cosx)dx

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  20. Evaluate: underset(0)overset(pi//2)intlog |sinx|dx

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