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Popular Calculus >

integral of x^2+a^2

Solution

integral

x^{2} + a^{2}

Solution

\frac{x ^{3}}{3} + a^{2} x + C

Solution steps

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

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

\int a^{2} d x = a^{2} x

= \frac{x ^{3}}{3} + a^{2} x

Add a constant to the solution

= \frac{x ^{3}}{3} + a^{2} x + C

Graph

Popular Examples

simplify (1/(x-1))^{1/2}

s im pl i f y (\frac{1}{x - 1})^{\frac{1}{2}}

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

in t e g r a l \frac{2 x ^{2}}{( x ^{2} + 1 )}

integral of sqrt(2-x^2)

in t e g r a l 2 - x^{2}

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

in t e g r a l \frac{( 6 x + 1 )}{( 2 x - 3 )}

integral of 9/((3x-4)^2)

in t e g r a l \frac{9}{( 3 x - 4 ) ^{2}}

Frequently Asked Questions (FAQ)

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