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Popular >

integral of 1/x*1/x

Solution

\int \frac{1}{x} \cdot \frac{1}{x} d x

Solution

- \frac{1}{x} + C

Solution steps

\int \frac{1}{x} \cdot \frac{1}{x} d x

Simplify

\frac{1}{x} \cdot \frac{1}{x} : \frac{1}{x ^{2}}

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

Apply the Power Rule

: - \frac{1}{x}

= - \frac{1}{x}

Add a constant to the solution

= - \frac{1}{x} + C

Popular Examples

integral from 0 to 7 of sqrt(x^2-49)

\int_{0}^{7} x^{2} - 49 d x

x(dy)/(dx)=y+2sqrt(xy)

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

(d^2)/(dx^2)(sqrt(x^2+64))

\frac{d ^{2}}{d x ^{2}} (x^{2} + 64)

(dy)/(dx)+0.7x=18.2

\frac{d y}{d x} + 0.7 x = 18.2

-4y^{''}+16y=0,y(-1)=-1,y^'(1)=-1

- 4 y^{^{''}} + 16 y = 0, y (- 1) = - 1, y^{^{'}} (1) = - 1

Frequently Asked Questions (FAQ)

What is the integral of 1/x*1/x ?
The integral of 1/x*1/x is -1/x+C