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Popular >

integral of x/(4a)

Solution

\int \frac{x}{4 a} d x

Solution

\frac{x ^{2}}{8 a} + C

Solution steps

\int \frac{x}{4 a} d x

Take the constant out:

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

= \frac{1}{4 a} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{4 a} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{4 a} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{8 a}

= \frac{x ^{2}}{8 a}

Add a constant to the solution

= \frac{x ^{2}}{8 a} + C

Popular Examples

integral of (x^2)/(\sqrt[3]{7+x^3)}

integral of x^7sqrt(x^4+4)

\int x^{7} x^{4} + 4 d x

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\int u^{a} d u

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\int e^{x} (2 x) d x

integral of (x^6)/((9+x^7)^2)

\int \frac{x ^{6}}{( 9 + x ^{7} ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of x/(4a) ?
The integral of x/(4a) is (x^2)/(8a)+C