What is the integral of (100+x)^4 ?

The integral of (100+x)^4 is ((100+x)^5)/5+C

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integral of (100+x)^4

\int (100 + x)^{4} d x

\frac{( 100 + x ) ^{5}}{5} + C

Solution steps

\int (100 + 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 = 100 + x

= \frac{( 100 + x ) ^{5}}{5}

Add a constant to the solution

= \frac{( 100 + x ) ^{5}}{5} + C

\int (5 cos (x) + 3 sin (x)) d x

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

\int \frac{3 x}{x ^{2} + 3} d x

\int \frac{( x ^{- \frac{1}{3}} )}{1 + x ^{\frac{2}{3}}} d x

What is the integral of (100+x)^4 ?
The integral of (100+x)^4 is ((100+x)^5)/5+C