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Popular >

integral of (1+x)^4

Solution

integral

(1 + x)^{4}

Solution

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

Solution steps

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

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

Add a constant to the solution

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

Graph

Popular Examples

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

integral of 1/((a^2-x^2))integral

\frac{1}{( a ^{2} - x ^{2} )}

Frequently Asked Questions (FAQ)

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