some integrals

A solution to the integral of sqrt(tan (x) ) is available at http://rbmix.com/math/sqrtan/sqrtan.php

A solution to the integral of ln(sin(x)) with limits 0 to pi/2 using properties of definite integrals is available at http://rbmix.com/problem/int/int.php

A solution of the integral of [e^(ax) ] *cos(bx) using the technique of integration by parts is available at http://rbmix.com/problem/bypart/bpt.php

A solution to the integral of sec³(x) using the method of integration by parts is available at http://rbmix.com/problem/i2/i2.php

In the last two problems , the question is taken as I and then integration by parts is applied, and then the original integral I is manipulated out of the resultant integral and then extracted.

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