What is the integral of (6x+5)/(e^x) ?

The integral of (6x+5)/(e^x) is -(6x+5)/(e^x)-6/(e^x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (6x+5)/(e^x)

\int \frac{6 x + 5}{e ^{x}} d x

- \frac{6 x + 5}{e ^{x}} - \frac{6}{e ^{x}} + C

Solution steps

\int \frac{6 x + 5}{e ^{x}} d x

Apply Integration By Parts

: - \frac{6 x + 5}{e ^{x}} - \int - \frac{6}{e ^{x}} d x

= - \frac{6 x + 5}{e ^{x}} - \int - \frac{6}{e ^{x}} d x

\int - \frac{6}{e ^{x}} d x = \frac{6}{e ^{x}}

= - \frac{6 x + 5}{e ^{x}} - \frac{6}{e ^{x}}

Add a constant to the solution

= - \frac{6 x + 5}{e ^{x}} - \frac{6}{e ^{x}} + C

y = ln (1 - x^{2})

\frac{\partial}{\partial y} (2 y^{3} - 6 y + x^{2})

ln (5)

x \to + 0 + lim (\frac{1}{x} - \frac{1}{x ^{2} + x})

\frac{\partial}{\partial x} (e^{\frac{y}{x}} - y \cdot e^{- x})

What is the integral of (6x+5)/(e^x) ?
The integral of (6x+5)/(e^x) is -(6x+5)/(e^x)-6/(e^x)+C