What is the integral from 0 to 4 of 5x^2+sqrt(x) ?

The integral from 0 to 4 of 5x^2+sqrt(x) is 112

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 4 of 5x^2+sqrt(x)

\int_{0}^{4} 5 x^{2} + x d x

112

Solution steps

\int_{0}^{4} 5 x^{2} + x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{4} 5 x^{2} d x + \int_{0}^{4} x d x

\int_{0}^{4} 5 x^{2} d x = \frac{320}{3}

\int_{0}^{4} x d x = \frac{16}{3}

= \frac{320}{3} + \frac{16}{3}

Simplify

\frac{320}{3} + \frac{16}{3} : 112

= 112

\int_{1}^{3} 3 x^{2} - 6 x + 2 d x

\int_{0}^{1} x^{2} (1 - x^{2}) d x

\int_{- 4}^{5} x^{2} - x - 20 d x

\int_{2}^{4} (x) d x

\int_{0}^{y - z} (2 x - y) d x

What is the integral from 0 to 4 of 5x^2+sqrt(x) ?
The integral from 0 to 4 of 5x^2+sqrt(x) is 112