e-x-1-x-2-x-3-2-dx-

Question Number 26909 by sorour87 last updated on 31/Dec/17

\int \frac{e^{x} (\frac{1}{x} - \frac{2}{x^{3}})}{- 2} d x

Answered by prakash jain last updated on 31/Dec/17

\int e^{x} (- \frac{1}{2 x} + \frac{1}{x^{3}}) d x

\int - \frac{e^{x}}{2 x} d x + \int \frac{e^{x}}{x^{3}} d x

i n t e g r a t e f i r s t b y p a r t s

= - \frac{e^{x}}{2 x} - \int \frac{e^{x}}{2 x^{2}} d x + \int \frac{e^{x}}{x^{3}} d x

= - \frac{e^{x}}{2 x} - \frac{e^{x}}{2 x^{2}} - \int \frac{e^{x}}{x^{3}} d x + \int \frac{e^{x}}{x^{3}} d x

= - \frac{e^{x} (x + 1)}{2 x^{2}}