What is the integral from 3 to 4 of 2x ?

The integral from 3 to 4 of 2x is 7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3 to 4 of 2x

\int_{3}^{4} 2 x d x

7

Solution steps

\int_{3}^{4} 2 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{3}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3}^{4}

= 2 [\frac{x ^{2}}{2}]_{3}^{4}

Compute the boundaries:

\frac{7}{2}

= 2 \cdot \frac{7}{2}

Simplify

= 7

\int_{- 1}^{1} (x^{3}) d x

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

\int_{1}^{3} \frac{1}{x + 1} d x

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

\int_{e}^{e^{3}} \frac{1}{x ( ln ( x ) ) ^{4}} d x