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Popular >

integral of x^-1

Solution

integral

x^{-} 1

Solution

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

Solution steps

\int x^{-} \cdot 1 d x

Simplify

= \int x^{-} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 30(1+x^2)(7+15x+5x^3)^{16}

\int 30 (1 + x^{2}) (7 + 15 x + 5 x^{3})^{16} d x

integral of x(x+2)^8

\int x (x + 2)^{8} d x

integral of (x^{10}+x^4+4x^3)

\int (x^{10} + x^{4} + 4 x^{3}) d x

integral of x/((3x^2-5)^4)

\int \frac{x}{( 3 x ^{2} - 5 ) ^{4}} d x

integral of sqrt(e^x-2)

\int e^{x} - 2 d x

Frequently Asked Questions (FAQ)

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