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Popular >

integral of (x-2)^4

Solution

\int (x - 2)^{4} d x

Solution

\frac{( x - 2 ) ^{5}}{5} + C

Solution steps

\int (x - 2)^{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 = x - 2

= \frac{( x - 2 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x - 2 ) ^{5}}{5} + C

Popular Examples

derivative of (5^{2/3}-x^{2/3}^{3/2})

\frac{d}{d x} ((5^{\frac{2}{3}} - x^{\frac{2}{3}})^{\frac{3}{2}})

derivative of e(1/x)

\frac{d}{d x} (e (\frac{1}{x}))

derivative of (e^{-2x}/x)

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

16xy^'-2y=-(x^2)/(y^{15)}

16 x y^{^{'}} - 2 y = - \frac{x ^{2}}{y ^{15}}

maclaurin tan(2x)maclaurin

tan (2 x)

Frequently Asked Questions (FAQ)

What is the integral of (x-2)^4 ?
The integral of (x-2)^4 is ((x-2)^5)/5+C