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Popular >

integral of x^b

Solution

\int x^{b} d x

Solution

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

Solution steps

\int x^{b} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of 6(t+2)^2

\int 6 (t + 2)^{2} d t

integral of (5x^2+3x+13)/((x+1)(x^2+4))

\int \frac{5 x ^{2} + 3 x + 13}{( x + 1 ) ( x ^{2} + 4 )} d x

integral of 5(2x+1)

\int 5 (2 x + 1) d x

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

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

integral of 18sin(3x)

\int 18 sin (3 x) d x

Frequently Asked Questions (FAQ)

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