What is the integral from 0 to 3 of e^{x+3y} ?

The integral from 0 to 3 of e^{x+3y} is e^{3+3y}-e^{3y}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of e^{x+3y}

\int_{0}^{3} e^{x + 3 y} d x

e^{3 + 3 y} - e^{3 y}

Solution steps

\int_{0}^{3} e^{x + 3 y} d x

Apply u-substitution

: \int_{3 y}^{3 + 3 y} e^{u} d u

= \int_{3 y}^{3 + 3 y} e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= [e^{u}]_{3 y}^{3 + 3 y}

Compute the boundaries:

e^{3 + 3 y} - e^{3 y}

= e^{3 + 3 y} - e^{3 y}

\int_{0}^{2 π} cos (2 x) sin (5 x) d x

\int_{2}^{4} e^{x} d x

\int_{1}^{3} (1 + \frac{1}{x} + \frac{1}{x ^{2}}) d x

\int_{0}^{b} \frac{1}{1 + x ^{2}} d x

\int_{0}^{3} 4 x^{3} d x

What is the integral from 0 to 3 of e^{x+3y} ?
The integral from 0 to 3 of e^{x+3y} is e^{3+3y}-e^{3y}