en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1-x^2

Solution

integral

1 - x^{2}

Solution

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

Solution steps

\int 1 - x^{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 1 d x - \int x^{2} d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of |x|^4 integral

∣ x ∣^{4}

integral of 7/x integral

\frac{7}{x}

integral of (x^2)*e^{x^3}integral

(x^{2}) \cdot e^{x^{3}}

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

\frac{2}{( ( x - 2 ) x + 2 )}

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

\frac{x ^{2}}{( x ^{3} + 2 )}

Frequently Asked Questions (FAQ)

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