What is the integral from 1 to 16 of 1/(x^{1/4)} ?

The integral from 1 to 16 of 1/(x^{1/4)} is 28/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 16 of 1/(x^{1/4)}

\int_{1}^{16} \frac{1}{x ^{\frac{1}{4}}} d x

\frac{28}{3}

Decimal

9.33333 \dots

Solution steps

\int_{1}^{16} \frac{1}{x ^{\frac{1}{4}}} d x

Apply the Power Rule

: [\frac{4}{3} x^{\frac{3}{4}}]_{1}^{16}

= [\frac{4}{3} x^{\frac{3}{4}}]_{1}^{16}

Compute the boundaries:

\frac{28}{3}

= \frac{28}{3}

\int_{0}^{4} (3 x^{2} + x) d x

\int_{- π}^{π} x^{2} \cdot cos (n x) d x

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

\int_{1}^{4} (x^{2} + 4 x^{3} + 10) d x

\int_{0}^{1} 4 x + 7 d x

What is the integral from 1 to 16 of 1/(x^{1/4)} ?
The integral from 1 to 16 of 1/(x^{1/4)} is 28/3