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Step-by-step Solution

Integral of (2z)/(e^z)

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Answer

$2\left(-z\left(\frac{1}{e^z}\right)-\left(\frac{1}{e^z}\right)\right)+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(\frac{2z}{e^z}\right)dz$
1

Take out the constant from the fraction's numerator

$2\int\frac{z}{e^z}dz$
2

Rewrite the fraction $\frac{z}{e^z}$ inside the integral as a product $z\frac{1}{e^z}$

$2\int z\frac{1}{e^z}dz$

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Answer

$2\left(-z\left(\frac{1}{e^z}\right)-\left(\frac{1}{e^z}\right)\right)+C_0$

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$\int\left(\frac{2z}{e^z}\right)dz$

Main topic:

Integration by parts

Used formulas:

2. See formulas

Time to solve it:

~ 0.44 seconds