What is area y=2x^3-x^2-5x,y=3x-x^2 ?

The answer to area y=2x^3-x^2-5x,y=3x-x^2 is 16

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area y=2x^3-x^2-5x,y=3x-x^2

area

y = 2 x^{3} - x^{2} - 5 x, y = 3 x - x^{2}

16

Solution steps

Apply the area formula:

\int_{- 2}^{2} 2 x^{3} - x^{2} - 5 x - (3 x - x^{2}) d x

Solve

\int_{- 2}^{2} 2 x^{3} - x^{2} - 5 x - (3 x - x^{2}) d x : 16

The area is:

= 16

\int 3 (2 x - 2) ln (x - 2) d x

\int 3 x + 1 d x

n = 0 \sum \infty (- \frac{2}{7})^{n}

x^{2} - 4 x + 1, - x + 5

x \to 2 lim (15)

What is area y=2x^3-x^2-5x,y=3x-x^2 ?
The answer to area y=2x^3-x^2-5x,y=3x-x^2 is 16