What is the integral of x^{4/3}-3x^{5/2} ?

The integral of x^{4/3}-3x^{5/2} is 3/7 x^{7/3}-6/7 x^{7/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{4/3}-3x^{5/2}

\int x^{\frac{4}{3}} - 3 x^{\frac{5}{2}} d x

\frac{3}{7} x^{\frac{7}{3}} - \frac{6}{7} x^{\frac{7}{2}} + C

Solution steps

\int x^{\frac{4}{3}} - 3 x^{\frac{5}{2}} 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 x^{\frac{4}{3}} d x - \int 3 x^{\frac{5}{2}} d x

\int x^{\frac{4}{3}} d x = \frac{3}{7} x^{\frac{7}{3}}

\int 3 x^{\frac{5}{2}} d x = \frac{6}{7} x^{\frac{7}{2}}

= \frac{3}{7} x^{\frac{7}{3}} - \frac{6}{7} x^{\frac{7}{2}}

Add a constant to the solution

= \frac{3}{7} x^{\frac{7}{3}} - \frac{6}{7} x^{\frac{7}{2}} + C

\int \frac{x ^{3}}{x + 1} d x

\int_{0}^{2} 4 - x^{2} d x

\frac{d}{d t} (1 + 2 t)

\frac{d}{d x} (x^{5} - 4 x^{3} + 2 x - 3)

\frac{d}{d x} ((x^{2} + x) e^{x})

What is the integral of x^{4/3}-3x^{5/2} ?
The integral of x^{4/3}-3x^{5/2} is 3/7 x^{7/3}-6/7 x^{7/2}+C