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Popular >

integral of 1/4 x^2

Solution

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

Solution

\frac{x ^{3}}{12} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{4} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{1}{4} \cdot \frac{x ^{3}}{3}

Simplify

\frac{1}{4} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{12}

= \frac{x ^{3}}{12}

Add a constant to the solution

= \frac{x ^{3}}{12} + C

Popular Examples

integral of 2x(x^2+4)^2

\int 2 x (x^{2} + 4)^{2} d x

laplacetransform t-(t-5)(-(t-5))laplace transform

t - (t - 5) (- (t - 5))

tangent of f(x)=2x^2-7,\at x=-2 tangent of

f (x) = 2 x^{2} - 7, at x = - 2

area 4x+y^2=13,x=3y area

4 x + y^{2} = 13, x = 3 y

(ln (3 x))^{^{'}}

Frequently Asked Questions (FAQ)

What is the integral of 1/4 x^2 ?
The integral of 1/4 x^2 is (x^3)/(12)+C