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Popular >

integral of (r+5)^3

Solution

\int (r + 5)^{3} d r

Solution

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

Solution steps

\int (r + 5)^{3} d r

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 = r + 5

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

Add a constant to the solution

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

Graph

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\int x^{2} - 5 x + 6 d x

integral of (18)/((x^2+9)^2)

\int \frac{18}{( x ^{2} + 9 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (r+5)^3 ?
The integral of (r+5)^3 is ((r+5)^4)/4+C