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Popular >

integral of 3/4 x^2

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= \frac{3}{4} \cdot \int x^{2} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

integral from 1 to 3 of x^2+1

\int_{1}^{3} x^{2} + 1 d x

integral of xe^{(1+x^2)}

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

5x^2y^'=y^'+5xe^{-y}

5 x^{2} y^{^{'}} = y^{^{'}} + 5 x e^{- y}

(\partial)/(\partial x)(W*L*H(W,L,x))

\frac{\partial}{\partial x} (W \cdot L \cdot H (W, L, x))

(\partial)/(\partial y)(sqrt(y/x))

\frac{\partial}{\partial y} (\frac{y}{x})

Frequently Asked Questions (FAQ)

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