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Popular >

integral of (9x)/2

Solution

\int \frac{9 x}{2} d x

Solution

\frac{9 x ^{2}}{4} + C

Solution steps

\int \frac{9 x}{2} d x

Take the constant out:

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

= \frac{9}{2} \cdot \int x d x

Apply the Power Rule

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

= \frac{9}{2} \cdot \frac{x ^{2}}{2}

Simplify

\frac{9}{2} \cdot \frac{x ^{2}}{2} : \frac{9 x ^{2}}{4}

= \frac{9 x ^{2}}{4}

Add a constant to the solution

= \frac{9 x ^{2}}{4} + C

Graph

Popular Examples

integral of 7/2 x

\int \frac{7}{2} x d x

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\int - ln (x - 2) d x

integral of x^5sqrt(14+x^6)

\int x^{5} 14 + x^{6} d x

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

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

integral of 3x^2+2x^2

\int 3 x^{2} + 2 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of (9x)/2 ?
The integral of (9x)/2 is (9x^2)/4+C