What is area x=-2,x=2,y=5x,y=x^2-6 ?

The answer to area x=-2,x=2,y=5x,y=x^2-6 is 79/3

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area x=-2,x=2,y=5x,y=x^2-6

area

x = - 2, x = 2, y = 5 x, y = x^{2} - 6

\frac{79}{3}

Decimal

26.33333 \dots

Solution steps

Apply the area formula:

\int_{- 2}^{2} 5 x - (x^{2} - 6) d x

Solve

\int_{- 2}^{2} 5 x - (x^{2} - 6) d x : \frac{79}{3}

The area is:

= \frac{79}{3}

x \to 0 lim (\frac{e ^{2 x} - 1}{sin ( x )})

\frac{\partial}{\partial y} (x y + \frac{x}{y})

\int_{- 2}^{3} \frac{6}{x ^{4}} d x

\int (x ln (2 x)) d x

x \to 3 lim (3 x - 1)

What is area x=-2,x=2,y=5x,y=x^2-6 ?
The answer to area x=-2,x=2,y=5x,y=x^2-6 is 79/3