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Popular >

integral of 9/2 x^2

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{9}{2} \cdot \frac{x ^{3}}{3}

Simplify

\frac{9}{2} \cdot \frac{x ^{3}}{3} : \frac{3 x ^{3}}{2}

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

Add a constant to the solution

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

Graph

Popular Examples

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

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

integral of 1/(x(ln(x))^k)

\int \frac{1}{x ( ln ( x ) ) ^{k}} d x

integral of (3x+4)/(x^2+1)

\int \frac{3 x + 4}{x ^{2} + 1} d x

integral of sqrt(x^3)ln(x)

\int x^{3} ln (x) d x

integral of 1/(25+y^2)

\int \frac{1}{25 + y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the integral of 9/2 x^2 ?
The integral of 9/2 x^2 is (3x^3)/2+C