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Popular >

integral of 4x^3

Solution

integral

4 x^{3}

Solution

x^{4} + C

Solution steps

\int 4 x^{3} d x

Take the constant out:

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

= 4 \cdot \int x^{3} d x

Apply the Power Rule

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

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

Simplify

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

= x^{4}

Add a constant to the solution

= x^{4} + C

Popular Examples

integral of cot(39x)

\int cot (39 x) d x

integral of (x+3)/(x^2-x)

\int \frac{x + 3}{x ^{2} - x} d x

integral of (x/(x^2-5x+6))^2

\int (\frac{x}{x ^{2} - 5 x + 6})^{2} d x

integral of (2x^4-x^2)/(x^3)

\int \frac{2 x ^{4} - x ^{2}}{x ^{3}} d x

integral of (sqrt(t-1))/t

\int \frac{t - 1}{t} d t

Frequently Asked Questions (FAQ)

What is the integral of 4x^3 ?
The integral of 4x^3 is x^4+C