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Popular >

integral of (3x^2)/4

Solution

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

Solution

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

Solution steps

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

(\partial)/(\partial x)(e^{(x-1)^2})

\frac{\partial}{\partial x} (e^{(x - 1)^{2}})

taylor x^4+x-2 taylor

x^{4} + x - 2

25 y^{^{''}} + 2 y = 0

tangent of f(x)=-x^3,(2,-8)tangent of

f (x) = - x^{3}, (2, - 8)

limit as x approaches 0 of tan(x)

x \to 0 lim (tan (x))

Frequently Asked Questions (FAQ)

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