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\int e^{5x}\cos\left(120\right)\cdot xdx

Integral of e^(5x)cos(120)*x

Answer

$\frac{7}{\sqrt[3]{2}}\left(\frac{1}{5}e^{5x}x-\frac{1}{25}e^{5x}\right)+C_0$

Step-by-step explanation

Problem to solve:

$\int e^{5x}\cos\left(120\right)\cdot xdx$
1

Calculating the cosine of $120$ degrees

$\int\frac{7}{\sqrt[3]{2}}e^{5x}xdx$
2

Take the constant out of the integral

$\frac{7}{\sqrt[3]{2}}\int e^{5x}xdx$

Unlock this step-by-step solution!

Answer

$\frac{7}{\sqrt[3]{2}}\left(\frac{1}{5}e^{5x}x-\frac{1}{25}e^{5x}\right)+C_0$
$\int e^{5x}\cos\left(120\right)\cdot xdx$

Main topic:

Integration by parts

Used formulas:

3. See formulas

Time to solve it:

~ 0.53 seconds