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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

integral of x7^x

\int x 7^{x} d x

integral of (sin(2x))/(4+cos^2(x))

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

integral of (x^2+x)e^{1-2x}

\int (x^{2} + x) e^{1 - 2 x} d x

integral of sin(9x)cos(6x)

\int sin (9 x) cos (6 x) d x

longdivision ((x-1))/(x+1)long division

\frac{( x - 1 )}{x + 1}

Frequently Asked Questions (FAQ)

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