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Popular >

integral of (3x^2)/8

Solution

\int \frac{3 x ^{2}}{8} d x

Solution

\frac{x ^{3}}{8} + C

Solution steps

\int \frac{3 x ^{2}}{8} d x

Take the constant out:

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

= \frac{3}{8} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{3}{8} \cdot \frac{x ^{3}}{3}

Simplify

\frac{3}{8} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{8}

= \frac{x ^{3}}{8}

Add a constant to the solution

= \frac{x ^{3}}{8} + C

Graph

Popular Examples

integral from 1 to 25 of sqrt(x)ln(x)

\int_{1}^{25} x ln (x) d x

derivative of f(x)=(sqrt(x))/x derivative of

f (x) = \frac{x}{x}

y^{'''}-4y^{''}+4y^'=8x

y^{^{'''}} - 4 y^{^{''}} + 4 y^{^{'}} = 8 x

integral of 5x^2e^{-x}

\int 5 x^{2} e^{- x} d x

derivative of sin(5pix)

\frac{d}{d x} (sin (5 π x))

Frequently Asked Questions (FAQ)

What is the integral of (3x^2)/8 ?
The integral of (3x^2)/8 is (x^3)/8+C