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Popular Calculus >

integral of x^{n-1}

Solution

\int x^{n - 1} d x

Solution

\frac{x ^{n}}{n} + C

Solution steps

\int x^{n - 1} d x

Apply the Power Rule

= \frac{x ^{n}}{n}

Add a constant to the solution

= \frac{x ^{n}}{n} + C

Graph

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in v erse l a pl a ce \frac{1}{s}

integral of sec^2(θ)+6

\int sec^{2} (θ) + 6 d θ

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

d er i v a t i v e \frac{x ^{2}}{1 + x}

d/(d{r)}(ln({r}))

\frac{d}{d r} (ln (r))

area y=\sqrt[3]{x},y= 1/x ,x=8

a re a y = 3 x, y = \frac{1}{x}, x = 8

Frequently Asked Questions (FAQ)

What is the integral of x^{n-1} ?
The integral of x^{n-1} is (x^n)/n+C