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Popular >

integral of x^p

Solution

\int x^{p} d x

Solution

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

Solution steps

\int x^{p} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral from 2 to 4 of (x^2(2x-3))/6

\int_{2}^{4} \frac{x ^{2} ( 2 x - 3 )}{6} d x

(\partial)/(\partial x)(x/(x^2+y^2)+x)

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + y ^{2}} + x)

derivative of f(x)=x^2*ln(x)derivative of

f (x) = x^{2} \cdot ln (x)

derivative of-6/(sqrt(x))

\frac{d}{d x} (- \frac{6}{x})

integral from-5 to 5 of e

\int_{- 5}^{5} e d x

Frequently Asked Questions (FAQ)

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