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Popular >

integral of (4+x)^3

Solution

\int (4 + x)^{3} d x

Solution

\frac{( 4 + x ) ^{4}}{4} + C

Solution steps

\int (4 + x)^{3} d x

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

= \frac{u ^{4}}{4}

Substitute back

u = 4 + x

= \frac{( 4 + x ) ^{4}}{4}

Add a constant to the solution

= \frac{( 4 + x ) ^{4}}{4} + C

Graph

Popular Examples

integral of sin^3(θ)cos^5(θ)

\int sin^{3} (θ) cos^{5} (θ) d θ

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

integral of (e^{5x})/(e^{5x)-4}

\int \frac{e ^{5 x}}{e ^{5 x} - 4} d x

integral of 1/(6-5x)

\int \frac{1}{6 - 5 x} d x

integral of (x^5-x^2)/(x^3-2x)

\int \frac{x ^{5} - x ^{2}}{x ^{3} - 2 x} d x

Frequently Asked Questions (FAQ)

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