en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (3-x^2)

Solution

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

Solution

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

Solution steps

\int 3 - 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 3 d x - \int x^{2} d x

\int 3 d x = 3 x

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

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

Add a constant to the solution

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

Popular Examples

integral of (3^{2x+1})

\int (3^{2 x + 1}) d x

integral of 2x^7sqrt(x^4+1)

\int 2 x^{7} x^{4} + 1 d x

integral of 1/((x^2-x)(x^2+4))

\int \frac{1}{( x ^{2} - x ) ( x ^{2} + 4 )} d x

integral of 1/(yln^3(y))

\int \frac{1}{y ln ^{3} ( y )} d y

integral of xsqrt(8x-x^2)

\int x 8 x - x^{2} d x

Frequently Asked Questions (FAQ)

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