What is area f(x)=6-x^2,g(x)=x ?

The answer to area f(x)=6-x^2,g(x)=x is 125/6

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area f(x)=6-x^2,g(x)=x

area

f (x) = 6 - x^{2}, g (x) = x

\frac{125}{6}

Decimal Notation

20.83333 \dots

Solution steps

Apply the area formula:

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

Solve

\int_{- 3}^{2} 6 - x^{2} - x d x : \frac{125}{6}

The area is:

= \frac{125}{6}

1 - 3 x

\int sin^{2} (r) d r

\int (6 csc (x) cot (x)) d x

x^{2} \cdot sin (x)

f (x) = 3 x^{2} - 2 x