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Popular >

area y= 1/2 x,y= 6/x

Solution

area

y = \frac{1}{2} x, y = \frac{6}{x}

Solution

- \frac{3}{4} + 6 ln (2)

+1

Decimal Notation

3.40888 \dots

Solution steps

Apply the area formula:

\int_{1}^{2} \frac{1}{2} x - \frac{6}{x} d x

Solve

\int_{1}^{2} \frac{1}{2} x - \frac{6}{x} d x : - \frac{3}{4} + 6 ln (2)

The area is:

= - \frac{3}{4} + 6 ln (2)

Popular Examples

integral of (t^3)/(1+t)

\int \frac{t ^{3}}{1 + t} d t

integral of cos^4(x)sin^5(x)

\int cos^{4} (x) sin^{5} (x) d x

2xy^'+y=6x,y(4)=23

2 x y^{^{'}} + y = 6 x, y (4) = 23

derivative of 6x^5ln(x+x^5)

\frac{d}{d x} (6 x^{5} ln (x) + x^{5})

(dy)/(dx)=8+8y+x+xy

\frac{d y}{d x} = 8 + 8 y + x + x y

Frequently Asked Questions (FAQ)

What is area y= 1/2 x,y= 6/x ?
The answer to area y= 1/2 x,y= 6/x is -3/4+6ln(2)