What is the integral from 3 to 5 of 5x ?

The integral from 3 to 5 of 5x is 40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3 to 5 of 5x

\int_{3}^{5} 5 x d x

40

Solution steps

\int_{3}^{5} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{3}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3}^{5}

= 5 [\frac{x ^{2}}{2}]_{3}^{5}

Compute the boundaries:

8

= 5 \cdot 8

Simplify

= 40

\int_{0}^{1} t cos (π t) d t

\int_{0}^{2} y^{2} y^{3} + 1 d y

\int_{4}^{7} 5 d x

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

\int_{0}^{3} (x^{2} + x) d x