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Integrals (4 Problems) (sech ^2x/ (2+ tanh x) dx sinx/(1+cos^2 x) dx....)

Evalutate the following:

1.) Integrate sech ^2x/ (2+ tanh x) dx

2.) Integrate from 0 to (Pi/2) sinx/(1+cos^2 x) dx

3.) Find (f^-1)' (a) of f(x)=x^5 - x^3+ 2x, a=2

4.) Find the limit x approaches (2-) e^(3/(2-x))

Solution Summary

Integrals are found. The solution is detailed and well presented.