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Popular >

integral of (n+3)^3

Solution

\int (n + 3)^{3} d n

Solution

\frac{( n + 3 ) ^{4}}{4} + C

Solution steps

\int (n + 3)^{3} d n

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 = n + 3

= \frac{( n + 3 ) ^{4}}{4}

Add a constant to the solution

= \frac{( n + 3 ) ^{4}}{4} + C

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Frequently Asked Questions (FAQ)

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