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Popular >

integral of-3/(x^2)

Solution

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

Solution

\frac{3}{x} + C

Solution steps

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

Take the constant out:

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

= - 3 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= - 3 (- \frac{1}{x})

Simplify

- 3 (- \frac{1}{x}) : \frac{3}{x}

= \frac{3}{x}

Add a constant to the solution

= \frac{3}{x} + C

Popular Examples

(\partial)/(\partial y)(ln(x^{10}y))

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area 66x, 2/3 x,40-x^2 area

66 x, \frac{2}{3} x, 40 - x^{2}

tangent of f(x)= 1/(x^3),\at x=-2 tangent of

f (x) = \frac{1}{x ^{3}}, at x = - 2

integral from-2 to 6 of 4y-(y^2-12)

\int_{- 2}^{6} 4 y - (y^{2} - 12) d y

(\partial)/(\partial y)(sqrt(2x+y))

\frac{\partial}{\partial y} (2 x + y)

Frequently Asked Questions (FAQ)

What is the integral of-3/(x^2) ?
The integral of-3/(x^2) is 3/x+C