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Popular >

integral of (x+1)^3

Solution

integral

(x + 1)^{3}

Solution

\frac{( x + 1 ) ^{4}}{4} + C

Solution steps

\int (x + 1)^{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 = x + 1

= \frac{( x + 1 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x + 1 ) ^{4}}{4} + C

Graph

Popular Examples

integral of (x^2)/((x^2+1)^{1/2)}integral

\frac{x ^{2}}{( x ^{2} + 1 ) ^{\frac{1}{2}}}

integral of (x^2+1)/(x^2)integral

\frac{x ^{2} + 1}{x ^{2}}

integral of 1+tan(x)integral

1 + tan (x)

integral of 3x^2+8x+6 integral

3 x^{2} + 8 x + 6

integral of x^2+2 integral

x^{2} + 2

Frequently Asked Questions (FAQ)

What is the integral of (x+1)^3 ?
The integral of (x+1)^3 is ((x+1)^4)/4+C