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Popular Calculus >

integral of xn(1/x)

Solution

\int x n (\frac{1}{x}) d x

Solution

n x + C

Solution steps

\int x n \frac{1}{x} d x

Simplify

x n \frac{1}{x} : n

= \int n d x

Integral of a constant:

\int a d x = a x

= n x

Add a constant to the solution

= n x + C

Graph

Popular Examples

integral from 0 to 1 of e^{x^2}

\int_{0}^{1} e^{x^{2}} d x

derivative of x^2ln(x^3+1)

\frac{d}{d x} (x^{2} ln (x^{3} + 1))

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

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

integral of 1/(1+\sqrt[3]{x-2)}

\int \frac{1}{1 + 3 x - 2} d x

derivative of (x^5+2^2(x^4+4)^4)

\frac{d}{d x} ((x^{5} + 2)^{2} (x^{4} + 4)^{4})

Frequently Asked Questions (FAQ)

What is the integral of xn(1/x) ?
The integral of xn(1/x) is nx+C