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Popular >

integral of a^2x

Solution

\int a^{2} x d x

Solution

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

Solution steps

\int a^{2} x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x-cos(x))^2

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

integral of cos(8x^3+7)x^2

\int cos (8 x^{3} + 7) x^{2} d x

integral of (-13+4/(sqrt(p)))

\int (- 13 + \frac{4}{p}) d p

integral of ln^2(t)

\int ln^{2} (t) d t

integral of (4x-5)/(x^2+1)

\int \frac{4 x - 5}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

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