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Popular >

integral of x 3/2

Solution

\int x \frac{3}{2} d x

Solution

\frac{3 x ^{2}}{4} + C

Solution steps

\int x \frac{3}{2} d x

Take the constant out:

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

= \frac{3}{2} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

\frac{3}{2} \cdot \frac{x ^{2}}{2} : \frac{3 x ^{2}}{4}

= \frac{3 x ^{2}}{4}

Add a constant to the solution

= \frac{3 x ^{2}}{4} + C

Graph

Popular Examples

integral of (6x^2)/((4x^3-9)^3)

\int \frac{6 x ^{2}}{( 4 x ^{3} - 9 ) ^{3}} d x

integral of x^7(x-2)^4(x-3)^9

\int x^{7} (x - 2)^{4} (x - 3)^{9} d x

integral of 4/(t^3)

\int \frac{4}{t ^{3}} d t

integral of tan(x)an(x)

\int tan (x) d tan (x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of x 3/2 ?
The integral of x 3/2 is (3x^2)/4+C