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Popular Calculus >

integral of-1x

Solution

\int - 1 x d x

Solution

- \frac{x ^{2}}{2} + C

Solution steps

\int - 1 \cdot x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int x d x

Apply the Power Rule

= - \frac{x ^{2}}{2}

Add a constant to the solution

= - \frac{x ^{2}}{2} + C

Graph

Popular Examples

integral of ((x^2+5))/(2x)

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

integral of 2x^{3/4}

\int 2 x^{\frac{3}{4}} d x

integral of sqrt((2-3x)/(2+3x))

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

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

\int \frac{x ^{3} + 4 x - 1}{x ^{2} + 5} d x

integral of xsin(x)cos(nx)

\int x sin (x) cos (n x) d x

Frequently Asked Questions (FAQ)

What is the integral of-1x ?
The integral of-1x is -(x^2)/2+C