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Popular >

integral of (x+5)^3

Solution

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

Solution

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

Solution steps

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

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 = x + 5

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

Add a constant to the solution

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

Popular Examples

derivative of (2x/(1-x^2))

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

limit as x approaches 0 of (-x^2)/(x^2)

x \to 0 lim (\frac{- x ^{2}}{x ^{2}})

derivative of f(x)=(sin(pi-x))/(pi-x)derivative of

f (x) = \frac{sin ( π - x )}{π - x}

limit as x approaches 0 of 5^{x+h}-5^x

x \to 0 lim (5^{x + h} - 5^{x})

y^{^{'}} - tan (x) = 0

Frequently Asked Questions (FAQ)

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