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Popular >

integral of-k/(x^2)

Solution

\int - \frac{k}{x ^{2}} d x

Solution

\frac{k}{x} + C

Solution steps

\int - \frac{k}{x ^{2}} d x

Take the constant out:

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

= - k \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= - k (- \frac{1}{x})

Simplify

- k (- \frac{1}{x}) : \frac{k}{x}

= \frac{k}{x}

Add a constant to the solution

= \frac{k}{x} + C

Popular Examples

integral of 4e^{t/(50)}

\int 4 e^{\frac{t}{50}} d t

integral of (2pi(ln(t))^2)/(sqrt(t))

\int \frac{2 π ( ln ( t ) ) ^{2}}{t} d t

integral of sin(1/2)y

\int sin (\frac{1}{2}) y d y

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

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

integral of e^{t^3}t^2

\int e^{t^{3}} t^{2} d t

Frequently Asked Questions (FAQ)

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