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Popular >

integral of pi/(x^2)

Solution

\int \frac{π}{x ^{2}} d x

Solution

- \frac{π}{x} + C

Solution steps

\int \frac{π}{x ^{2}} d x

Take the constant out:

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

= π \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= π (- \frac{1}{x})

Simplify

π (- \frac{1}{x}) : - \frac{π}{x}

= - \frac{π}{x}

Add a constant to the solution

= - \frac{π}{x} + C

Popular Examples

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

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

integral of sqrt(9-t^2)

\int 9 - t^{2} d t

area x+2,x^5+2 area

x + 2, x^{5} + 2

derivative of-2sec^2(x)

\frac{d}{d x} (- 2 sec^{2} (x))

x^2dy=(y^2-xy+x^2)dx

x^{2} d y = (y^{2} - x y + x^{2}) d x

Frequently Asked Questions (FAQ)

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