What is area y=2x+5,y=15-x^2,x=-1,x=2 ?

The answer to area y=2x+5,y=15-x^2,x=-1,x=2 is 24

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area y=2x+5,y=15-x^2,x=-1,x=2

area

y = 2 x + 5, y = 15 - x^{2}, x = - 1, x = 2

24

Solution steps

Apply the area formula:

\int_{- 1}^{2} 2 x + 5 - (15 - x^{2}) d x

Solve

\int_{- 1}^{2} 2 x + 5 - (15 - x^{2}) d x : 24

The area is:

= 24

\int (4 + 3 x)^{5} d x

\int \frac{x}{( 1 - x ^{2} ) ^{3}} d x

x^{\frac{2}{3}}, 1

y = (x^{3} + 1) (3 x^{2} - 4 x + 2), (1, 2)

(\frac{1}{y ^{2}} - \frac{8}{y ^{4}}) (y + 2 y^{3})

What is area y=2x+5,y=15-x^2,x=-1,x=2 ?
The answer to area y=2x+5,y=15-x^2,x=-1,x=2 is 24