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Popular >

integral of (5x^2)/2

Solution

\int \frac{5 x ^{2}}{2} d x

Solution

\frac{5 x ^{3}}{6} + C

Solution steps

\int \frac{5 x ^{2}}{2} d x

Take the constant out:

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

= \frac{5}{2} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{5}{2} \cdot \frac{x ^{3}}{3}

Simplify

\frac{5}{2} \cdot \frac{x ^{3}}{3} : \frac{5 x ^{3}}{6}

= \frac{5 x ^{3}}{6}

Add a constant to the solution

= \frac{5 x ^{3}}{6} + C

Popular Examples

derivative of y=(3ln(4x))/(5-2x)derivative of

y = \frac{3 ln ( 4 x )}{5 - 2 x}

tangent of f(x)=-3x^3-2x,(-1,5)tangent of

f (x) = - 3 x^{3} - 2 x, (- 1, 5)

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

derivative of nlog_{10}(n)derivative of

n lo g_{10} (n)

integral of 1/((x-1)^{2/3)}

\int \frac{1}{( x - 1 ) ^{\frac{2}{3}}} d x

Frequently Asked Questions (FAQ)

What is the integral of (5x^2)/2 ?
The integral of (5x^2)/2 is (5x^3)/6+C