What is area 15-x^2,-6x-1,[-4,-1] ?

The answer to area 15-x^2,-6x-1,[-4,-1] is 82/3

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area 15-x^2,-6x-1,[-4,-1]

area

15 - x^{2}, - 6 x - 1, [- 4, - 1]

\frac{82}{3}

Decimal Notation

27.33333 \dots

Solution steps

Apply the area formula:

\int_{- 4}^{- 1} 15 - x^{2} - (- 6 x - 1) d x

Solve

\int_{- 4}^{- 1} 15 - x^{2} - (- 6 x - 1) d x : \frac{82}{3}

The area is:

= \frac{82}{3}

\int \frac{9}{( x + 1 ) ^{2}} d x

\int \frac{1 - 2 x}{( x + 1 ) ( x - 5 )} d x

\frac{d}{d x} (x e^{x y} + 2 x y + \frac{1}{x})

y^{^{'}} - e^{y} - 2 x e^{y} = 0

y = sin (tan (7 x))

What is area 15-x^2,-6x-1,[-4,-1] ?
The answer to area 15-x^2,-6x-1,[-4,-1] is 82/3