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Popular >

integral of (x^2)/8

Solution

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

Solution

\frac{x ^{3}}{24} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{8} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{1}{8} \cdot \frac{x ^{3}}{3}

Simplify

\frac{1}{8} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{24}

= \frac{x ^{3}}{24}

Add a constant to the solution

= \frac{x ^{3}}{24} + C

Popular Examples

tangent of y= 5/x ,(1/2 ,10)tangent of

y = \frac{5}{x}, (\frac{1}{2}, 10)

integral of x^2sin(θ)

\int x^{2} sin (θ) d x

integral of (7x^2)/((225+x^2)^2)

\int \frac{7 x ^{2}}{( 225 + x ^{2} ) ^{2}} d x

limit as x approaches 0+of (5x^2)(ln(x))

x \to 0 + lim ((5 x^{2}) (ln (x)))

tangent of y=(x^2-1)/(x^2+x+1),\at x=1 tangent of

y = \frac{x ^{2} - 1}{x ^{2} + x + 1}, at x = 1

Frequently Asked Questions (FAQ)

What is the integral of (x^2)/8 ?
The integral of (x^2)/8 is (x^3)/(24)+C