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\int xe^{7x}dx

Integrate xe^(7x)

Answer

$\frac{1}{7}e^{7x}x-\frac{1}{49}e^{7x}+C_0$

Step-by-step explanation

Problem to solve:

$\int xe^{7x}dx$
1

Use the integration by parts theorem to calculate the integral $\int x\cdot e^{7x}dx$, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Unlock this step-by-step solution!

Answer

$\frac{1}{7}e^{7x}x-\frac{1}{49}e^{7x}+C_0$
$\int xe^{7x}dx$

Main topic:

Integration by parts

Used formulas:

4. See formulas

Time to solve it:

~ 0.47 seconds