What is area x=-2,x=1,y=10x,y=x^2-11 ?

The answer to area x=-2,x=1,y=10x,y=x^2-11 is 83/3

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area x=-2,x=1,y=10x,y=x^2-11

area

x = - 2, x = 1, y = 10 x, y = x^{2} - 11

\frac{83}{3}

Decimal

27.66666 \dots

Solution steps

Apply the area formula:

\int_{- 2}^{1} 10 x - (x^{2} - 11) d x

Solve

\int_{- 2}^{1} 10 x - (x^{2} - 11) d x : \frac{83}{3}

The area is:

= \frac{83}{3}

\frac{d}{d x} (\frac{x ^{4} - x ^{3} - 8}{( x - 3 ) ( x + 2 )})

y = x^{3} - 4, (2, 0)

\int_{0}^{2} (3 - x^{3}) d x

\int \frac{36 + ( ln ( 4 x ) ) ^{2}}{x} d x

\int \frac{5 t t}{1 + t ^{5}} d t

What is area x=-2,x=1,y=10x,y=x^2-11 ?
The answer to area x=-2,x=1,y=10x,y=x^2-11 is 83/3