If $\displaystyle \int \frac{1}{1+\sin x}\ dx= \tan\left(\frac{x}{2}+a\right)$ find the value of a.
Follow Math Help Forum on Facebook and Google+
Originally Posted by great_math If $\displaystyle \int \frac{1}{1+\sin x}\ dx= \tan\left(\frac{x}{2}+a\right)$ find the value of a. were there limits on the integral? if not, just integrate the left hand side and see where it takes you. hint: multiply the integral by $\displaystyle \frac {1 - \sin x}{1 - \sin x}$ and simplify before integrating