Evaluate the indefinite integral.

A u-substitution may make the integral easier.



$\displaystyle \int$ $\displaystyle \frac{{{7}\cdot{\cos{{\left({x}\right)}}}}}{{\left({6}+{\sin{{\left({x}\right)}}}\right)}^{{3}}}$ dx = Preview Question 6   +C



Type sin(x) for $\displaystyle {\sin{{\left({x}\right)}}}$ , cos(x) for $\displaystyle {\cos{{\left({x}\right)}}}$, and so on.

Use x^2 for $\displaystyle {x}^{{2}}$, (x+2)^3 for $\displaystyle {\left({x}+{2}\right)}^{{3}}$, sqrt(x) for $\displaystyle \sqrt{{{x}}}$,

Use ( sin(x) )^2 to square sin(x).