What is the integral of 25x^{3/2} ?

The integral of 25x^{3/2} is 10x^{5/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 25x^{3/2}

\int 25 x^{\frac{3}{2}} d x

10 x^{\frac{5}{2}} + C

Solution steps

\int 25 x^{\frac{3}{2}} d x

Take the constant out:

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

= 25 \cdot \int x^{\frac{3}{2}} d x

Apply the Power Rule

= 25 \cdot \frac{2}{5} x^{\frac{5}{2}}

Simplify

25 \cdot \frac{2}{5} x^{\frac{5}{2}} : 10 x^{\frac{5}{2}}

= 10 x^{\frac{5}{2}}

Add a constant to the solution

= 10 x^{\frac{5}{2}} + C

\int_{0}^{\frac{π}{4}} sin^{4} (2 x) d x

d er i v a t i v e \frac{5}{x ^{4}}

d er i v a t i v e \frac{2 x}{5 - cot ( x )}

\frac{d}{d x} (ln^{2} (5 x))

(x, y) \to (2, 3) lim (x + y^{2})