en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-0.4x^2

Solution

integral

- 0.4 x^{2}

Solution

- 0.13333 \dots x^{3} + C

Solution steps

\int - 0.4 x^{2} d x

Take the constant out:

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

= - 0.4 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 0.4 \cdot \frac{x ^{3}}{3}

Simplify

- 0.4 \cdot \frac{x ^{3}}{3} : - 0.13333 \dots x^{3}

= - 0.13333 \dots x^{3}

Add a constant to the solution

= - 0.13333 \dots x^{3} + C

Popular Examples

integral of ((7x^6-8x^4+9x^3)/(2x^2))

\int (\frac{7 x ^{6} - 8 x ^{4} + 9 x ^{3}}{2 x ^{2}}) d x

integral of x/(sqrt(4+4x-x^2))

\int \frac{x}{4 + 4 x - x ^{2}} d x

integral of (x^2)/(9+x)

\int \frac{x ^{2}}{9 + x} d x

integral of (x+1)/(3x^2+6x-5)

\int \frac{x + 1}{3 x ^{2} + 6 x - 5} d x

integral of 2x(x^2-4)^6

\int 2 x (x^{2} - 4)^{6} d x

Frequently Asked Questions (FAQ)

What is the integral of-0.4x^2 ?
The integral of-0.4x^2 is -0.13333…x^3+C