What is the integral of (4x+2)/(e^x) ?

The integral of (4x+2)/(e^x) is -(4x+2)/(e^x)-4/(e^x)+C

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integral of (4x+2)/(e^x)

\int \frac{4 x + 2}{e ^{x}} d x

- \frac{4 x + 2}{e ^{x}} - \frac{4}{e ^{x}} + C

Solution steps

\int \frac{4 x + 2}{e ^{x}} d x

Apply Integration By Parts

: - \frac{4 x + 2}{e ^{x}} - \int - \frac{4}{e ^{x}} d x

= - \frac{4 x + 2}{e ^{x}} - \int - \frac{4}{e ^{x}} d x

\int - \frac{4}{e ^{x}} d x = \frac{4}{e ^{x}}

= - \frac{4 x + 2}{e ^{x}} - \frac{4}{e ^{x}}

Add a constant to the solution

= - \frac{4 x + 2}{e ^{x}} - \frac{4}{e ^{x}} + C

\int \frac{1}{cos ^{2} ( t )} d t

f (x) = 2 x^{3} + x

\frac{d y}{d x} + y^{7} x + 3 y = 0

y^{^{'}} = \frac{x e ^{x}}{2 y}

x \to 0 lim (sin (\frac{1}{2}))

What is the integral of (4x+2)/(e^x) ?
The integral of (4x+2)/(e^x) is -(4x+2)/(e^x)-4/(e^x)+C