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Popular >

integral of x^i

Solution

\int x^{i} d x

Solution

\frac{x ^{i + 1}}{i + 1} + C

Solution steps

\int x^{i} d x

Apply the Power Rule

: \frac{x ^{i + 1}}{i + 1}

= \frac{x ^{i + 1}}{i + 1}

Add a constant to the solution

= \frac{x ^{i + 1}}{i + 1} + C

Popular Examples

integral of ((x+2))/(x+1)

\int \frac{( x + 2 )}{x + 1} d x

limit as x approaches 1 of (x-1)/(x^2+1)

x \to 1 lim (\frac{x - 1}{x ^{2} + 1})

integral of sqrt(6x+3)

\int 6 x + 3 d x

sum from n=1 to infinity of 1/(e^{n^3)}

n = 1 \sum \infty \frac{1}{e ^{n^{3}}}

integral of 1/((2x-1)^3)

\int \frac{1}{( 2 x - 1 ) ^{3}} d x

Frequently Asked Questions (FAQ)

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