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Popular >

integral of x^2+4

Solution

integral

x^{2} + 4

Solution

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

Solution steps

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

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

\int 4 d x = 4 x

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

Add a constant to the solution

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

Popular Examples

integral of x^2+3 integral

x^{2} + 3

integral of (20-2x)^{1/2}integral

(20 - 2 x)^{\frac{1}{2}}

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

\frac{1}{( x ^{2} + 2 x + 2 )}

integral of (cos(4x)+1)/(2sin(2x))integral

\frac{cos ( 4 x ) + 1}{2 sin ( 2 x )}

integral of (4x)/((x+2))integral

\frac{4 x}{( x + 2 )}

Frequently Asked Questions (FAQ)

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