#160; #160; #160; #160; #160; #160; #8747;ex+12ex #160;dx= #8747;e2x+2ex+1ex #160;dx= #8747;e3x+2e2x+ex #160;dx= #160;e3x3+2e2x2+ex+C ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Summation of Determinant

∫ e x+12 e x ...

Question

$\int {(e^{x} + 1)}^{2} e^{x} d x$

Open in App

Solution

$\int {(e^{x} + 1)}^{2} e^{x} d x = \int (e^{2 x} + 2 e^{x} + 1) e^{x} d x = \int (e^{3 x} + 2 e^{2 x} + e^{x}) d x = [\frac{e^{3 x}}{3} + \frac{2 e^{2 x}}{2} + e^{x}] + C$

Suggest Corrections

Similar questions

\int (e^{x} + 1)^{2} e^{x} d x

\int \frac{x}{(x + 1)^{2}} e^{x} d x

\int_{1}^{2} (2 x + 5) d x

\int_{1}^{2} x^{2} d x

\int_{1}^{2} e^{x} d x

I = \int_{0}^{1} \frac{e^{x}}{1 + x} d x

\int_{0}^{1} {(\frac{x}{x + 1})}^{2} e^{x} d x

S = e^{x} - sin x

\frac{d^{2} S}{d x^{2}}

Join BYJU'S Learning Program