en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3/5 x^2

Solution

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

Solution

\frac{x ^{3}}{5} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= \frac{3}{5} \cdot \frac{x ^{3}}{3}

Simplify

\frac{3}{5} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{5}

= \frac{x ^{3}}{5}

Add a constant to the solution

= \frac{x ^{3}}{5} + C

Popular Examples

integral of x*sin(2x)cos(2x)

\int x \cdot sin (2 x) cos (2 x) d x

integral of (3/4 x^2-16x)(3/2 x-16)

\int (\frac{3}{4} x^{2} - 16 x) (\frac{3}{2} x - 16) d x

integral of e^{2/x}integral

e^{\frac{2}{x}}

integral of 1/((3z+10)^7)

\int \frac{1}{( 3 z + 10 ) ^{7}} d z

integral of cot^8(x)csc^4(x)

\int cot^{8} (x) csc^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of 3/5 x^2 ?
The integral of 3/5 x^2 is (x^3)/5+C