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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

derivative of 12x^5+45x^4-200x^3+4

\frac{d}{d x} (12 x^{5} + 45 x^{4} - 200 x^{3} + 4)

area y=x^2-2,y=x area

y = x^{2} - 2, y = x

derivative of (9+x)^2((100)/(x^2)+1)derivative of

(9 + x)^{2} (\frac{100}{x ^{2}} + 1)

derivative of \sqrt[7]{x^2}

integral of e^{-ln(x)}(1-1/x)

\int e^{- l n (x)} (1 - \frac{1}{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