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Popular >

integral of (x+4)^4

Solution

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

Solution

\frac{( x + 4 ) ^{5}}{5} + C

Solution steps

\int (x + 4)^{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 + 4

= \frac{( x + 4 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x + 4 ) ^{5}}{5} + C

Graph

Popular Examples

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

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

integral of (ax+b)^4

\int (a x + b)^{4} d x

integral of (x^2-9)2x

\int (x^{2} - 9) 2 x d x

integral of 1/(16+4x^2)

\int \frac{1}{16 + 4 x ^{2}} d x

Frequently Asked Questions (FAQ)

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