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Popular >

integral of a(x)

Solution

\int a (x) d x

Solution

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

Solution steps

\int a x d x

Take the constant out:

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

= a \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial z)(3.5yzcos(xyz))

\frac{\partial}{\partial z} (3.5 yz cos (x yz))

integral of 1/(x^3sqrt(9x^2-1))

\int \frac{1}{x ^{3} 9 x ^{2} - 1} d x

derivative of (x^2/(30))

\frac{d}{d x} (\frac{x ^{2}}{30})

derivative of xy+xcos(x)

\frac{d}{d x} (x y + x cos (x))

integral of x^2+sqrt(x)

\int x^{2} + x d x

Frequently Asked Questions (FAQ)

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