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Popular >

area y= 1/x ,y=x

Solution

area

y = \frac{1}{x}, y = x

Solution

- ln (2) + \frac{3}{2}

+1

Decimal

0.80685 \dots

Solution steps

Apply the area formula:

\int_{1}^{2} \frac{1}{x} - x d x

Solve

\int_{1}^{2} \frac{1}{x} - x d x : - ln (2) + \frac{3}{2}

The area is:

= - ln (2) + \frac{3}{2}

Graph

Popular Examples

integral of 4x^2-x^4

\int 4 x^{2} - x^{4} d x

limit as x approaches-1+of x+2

x \to - 1 + lim (x + 2)

(dx)/(dt)=8(x^2+1),x(pi/4)=1

\frac{d x}{d t} = 8 (x^{2} + 1), x (\frac{π}{4}) = 1

derivative of (-1/((x-1)^2))

\frac{d}{d x} (\frac{- 1}{( x - 1 ) ^{2}})

(dy)/(dt)-2ty=12t^2e^{t^2}

\frac{d y}{d t} - 2 t y = 12 t^{2} e^{t^{2}}

Frequently Asked Questions (FAQ)

What is area y= 1/x ,y=x ?
The answer to area y= 1/x ,y=x is -ln(2)+3/2