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Popular >

integral of 1^{-1}

Solution

\int 1 d x^{- 1}

Solution

\frac{1}{x} + C

Solution steps

\int 1 d x^{- 1}

Integral of a constant:

\int a d x = a x

= 1 \cdot x^{- 1}

Simplify

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

= \frac{1}{x}

Add a constant to the solution

= \frac{1}{x} + C

Graph

Popular Examples

integral of (16)/(x^4sqrt(4-x^2))

\int \frac{16}{x ^{4} 4 - x ^{2}} d x

integral of \sqrt[11]{x}+\sqrt[12]{x}

\int 11 x + 12 x d x

integral of 1/((sin(x))^2+(tan(x))^2)

\int \frac{1}{( sin ( x ) ) ^{2} + ( tan ( x ) ) ^{2}} d x

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

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

integral of x*cos(a*x)

\int x \cdot cos (a \cdot x) d x

Frequently Asked Questions (FAQ)

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