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Popular >

integral of 8x^2

Solution

\int 8 x^{2} d x

Solution

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

Solution steps

\int 8 x^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

4y^{''}-5y^'=0,y(-2)=0,y^'(-2)=7

4 y^{^{''}} - 5 y^{^{'}} = 0, y (- 2) = 0, y^{^{'}} (- 2) = 7

inverse oflaplace s+1 inverse laplace

s + 1

derivative of cos(x^2+3)

\frac{d}{d x} (cos (x^{2} + 3))

derivative of sqrt(sin(e^{x^5sin(x))})

\frac{d}{d x} (sin (e^{x^{5} s i n (x)}))

y^{^{'}} = 4.9 - 22.22 y

Frequently Asked Questions (FAQ)

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