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Popular >

integral of-5/(x^2)

Solution

\int - \frac{5}{x ^{2}} d x

Solution

\frac{5}{x} + C

Solution steps

\int - \frac{5}{x ^{2}} d x

Take the constant out:

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

= - 5 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= - 5 (- \frac{1}{x})

Simplify

- 5 (- \frac{1}{x}) : \frac{5}{x}

= \frac{5}{x}

Add a constant to the solution

= \frac{5}{x} + C

Popular Examples

derivative of (4\sqrt[4]{q})/(1-q)derivative of

\frac{d y}{d x} + y = 2 x

(\partial)/(\partial y)((4y)/(x^5))

\frac{\partial}{\partial y} (\frac{4 y}{x ^{5}})

tangent of f(x)=3x^4-x^3-5x^2+7,\at x=3 tangent of

f (x) = 3 x^{4} - x^{3} - 5 x^{2} + 7, at x = 3

integral of-1/(x+2)

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

Frequently Asked Questions (FAQ)

What is the integral of-5/(x^2) ?
The integral of-5/(x^2) is 5/x+C