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Popular >

integral of (x+1)^4

Solution

\int (x + 1)^{4} d x

Solution

\frac{( x + 1 ) ^{5}}{5} + C

Solution steps

\int (x + 1)^{4} d x

Apply u-substitution

: \int u^{4} d u

= \int u^{4} d u

Apply the Power Rule

: \frac{u ^{5}}{5}

= \frac{u ^{5}}{5}

Substitute back

u = x + 1

= \frac{( x + 1 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x + 1 ) ^{5}}{5} + C

Graph

Popular Examples

integral of 1/(sqrt(4x^2-49))

\int \frac{1}{4 x ^{2} - 49} d x

integral of 2cos(4x)

\int 2 cos (4 x) d x

limit as x approaches 2+of (2-x)/(x^2-4)

x \to 2 + lim (\frac{2 - x}{x ^{2} - 4})

derivative of ln(2x+4)

\frac{d}{d x} (ln (2 x + 4))

integral of ln(u)

\int ln (u) d u

Frequently Asked Questions (FAQ)

What is the integral of (x+1)^4 ?
The integral of (x+1)^4 is ((x+1)^5)/5+C