en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1sqrt(x)

Solution

\int 1 x d x

Solution

\frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

\int 1 \cdot x d x

Simplify

= \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= \frac{2}{3} x^{\frac{3}{2}}

Add a constant to the solution

= \frac{2}{3} x^{\frac{3}{2}} + C

Popular Examples

integral of 1/(s^4-2s^3+s^2)

\int \frac{1}{s ^{4} - 2 s ^{3} + s ^{2}} d s

integral of (3x)/(sqrt(6x^2-4))

\int \frac{3 x}{6 x ^{2} - 4} d x

integral of (x+4)/(x^2+8x+49)

\int \frac{x + 4}{x ^{2} + 8 x + 49} d x

integral of (1-x)e^{1+2x}

\int (1 - x) e^{1 + 2 x} d x

integral of (x^3(x^3+2))/(15)

\int \frac{x ^{3} ( x ^{3} + 2 )}{15} d x

Frequently Asked Questions (FAQ)

What is the integral of 1sqrt(x) ?
The integral of 1sqrt(x) is 2/3 x^{3/2}+C