What is area y=3x,y= 3/x ,x=4 ?

The answer to area y=3x,y= 3/x ,x=4 is 45/2-6ln(2)

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area y=3x,y= 3/x ,x=4

area

y = 3 x, y = \frac{3}{x}, x = 4

\frac{45}{2} - 6 ln (2)

Decimal Notation

18.34111 \dots

Solution steps

Apply the area formula:

\int_{1}^{4} 3 x - \frac{3}{x} d x

Solve

\int_{1}^{4} 3 x - \frac{3}{x} d x : \frac{45}{2} - 6 ln (2)

The area is:

= \frac{45}{2} - 6 ln (2)

\int - sin (\frac{1}{2} x) d x

f (x) = 6 cos (x)

\int \frac{tan ^{2} ( x )}{cos ^{2} ( x )} d x

f (x) = 3 x^{3}, (- 1, - 3)

\frac{d}{d x} (x e - x)

What is area y=3x,y= 3/x ,x=4 ?
The answer to area y=3x,y= 3/x ,x=4 is 45/2-6ln(2)