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Popular >

integral of x^{2n-1}

Solution

\int x^{2 n - 1} d x

Solution

\frac{x ^{2 n}}{2 n} + C

Solution steps

\int x^{2 n - 1} d x

Apply the Power Rule

: \frac{x ^{2 n}}{2 n}

= \frac{x ^{2 n}}{2 n}

Add a constant to the solution

= \frac{x ^{2 n}}{2 n} + C

Popular Examples

integral of sin(3x)integral

sin (3 x)

integral of ((2x+3))/(x^2+2x+5)

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

integral of 1/(5xlog_{3)(x)}

\int \frac{1}{5 x lo g _{3} ( x )} d x

integral of (sqrt(2)+ln(x))/x

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

integral of (5x^2)/(sqrt(x^3-2))

\int \frac{5 x ^{2}}{x ^{3} - 2} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{2n-1} ?
The integral of x^{2n-1} is (x^{2n})/(2n)+C