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Popular >

integral of (6x^3)

Solution

\int (6 x^{3}) d x

Solution

\frac{3 x ^{4}}{2} + C

Solution steps

\int 6 x^{3} d x

Take the constant out:

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

= 6 \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= 6 \cdot \frac{x ^{4}}{4}

Simplify

6 \cdot \frac{x ^{4}}{4} : \frac{3 x ^{4}}{2}

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

Add a constant to the solution

= \frac{3 x ^{4}}{2} + C

Popular Examples

derivative of \sqrt[3]{(3x/(4pi)})

f(x)=(cos(x))/(cos(x)+1)

f (x) = \frac{cos ( x )}{cos ( x ) + 1}

derivative of y=(6x)/(x^2+1)derivative of

y = \frac{6 x}{x ^{2} + 1}

integral of (1-sin(x))/(1-sin^2(x))

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

tangent of y=x^2+3,(-1,4)tangent of

y = x^{2} + 3, (- 1, 4)

Frequently Asked Questions (FAQ)

What is the integral of (6x^3) ?
The integral of (6x^3) is (3x^4)/2+C