Make the substitution u = $\displaystyle {8}+{5}\cdot{e}^{{x}}$

and then rewrite the integral

in terms of u and du.

The original integral is $\displaystyle \int$ $\displaystyle {15}\cdot{e}^{{x}}\cdot{\left({8}+{5}\cdot{e}^{{x}}\right)}^{{5}}$ dx

The new integral (in terms of u and du) is

$\displaystyle \int$ Preview Question 6  



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).