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Popular >

integral of 4-x^2

Solution

integral

4 - x^{2}

Solution

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

Solution steps

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

\int 4 d x = 4 x

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

= 4 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 4 x - \frac{x ^{3}}{3} + C

Popular Examples

integral of x/(sqrt(9x^2+121))

\int \frac{x}{9 x ^{2} + 121} d x

integral of (x^3-4x^2+1)/(x-4)

\int \frac{x ^{3} - 4 x ^{2} + 1}{x - 4} d x

integral of 2/(ysqrt(y^2-25))

\int \frac{2}{y y ^{2} - 25} d y

integral of (xe^x)/(sqrt(81+e^x))

\int \frac{x e ^{x}}{81 + e ^{x}} d x

integral of t^2sqrt(2+t)

\int t^{2} 2 + t d t

Frequently Asked Questions (FAQ)

What is the integral of 4-x^2 ?
The integral of 4-x^2 is 4x-(x^3)/3+C