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Popular >

integral of (x+2)^5

Solution

\int (x + 2)^{5} d x

Solution

\frac{( x + 2 ) ^{6}}{6} + C

Solution steps

\int (x + 2)^{5} d x

Apply u-substitution

: \int u^{5} d u

= \int u^{5} d u

Apply the Power Rule

: \frac{u ^{6}}{6}

= \frac{u ^{6}}{6}

Substitute back

u = x + 2

= \frac{( x + 2 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x + 2 ) ^{6}}{6} + C

Popular Examples

integral of 1/3 e^{-x/3}

\int \frac{1}{3} e^{- \frac{x}{3}} d x

limit as x approaches-4-of x^2+2/(x+4)

x \to - 4 - lim (x^{2} + \frac{2}{x + 4})

derivative of 2/x-3x

\frac{d}{d x} (\frac{2}{x} - 3 x)

limit as θ approaches-pi+of csc(θ)

θ \to - π + lim (csc (θ))

integral of-1/4 cos(4x)

\int - \frac{1}{4} cos (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral of (x+2)^5 ?
The integral of (x+2)^5 is ((x+2)^6)/6+C