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Step-by-step Solution

Integrate e^(3x-2x)(6x-2)

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Answer

$e^x\left(-8+6x\right)+C_0$

Step-by-step explanation

Problem to solve:

$\int e^{3x-2x}\left(6x-2\right)dx$
1

Adding $3x$ and $-2x$

$\int e^x\left(6x-2\right)dx$
2

Multiplying polynomials $e^x$ and $6x+-2$

$\int\left(6e^x\cdot x-2e^x\right)dx$

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Answer

$e^x\left(-8+6x\right)+C_0$
$\int e^{3x-2x}\left(6x-2\right)dx$

Main topic:

Integration by parts

Used formulas:

4. See formulas

Time to solve it:

~ 0.92 seconds

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