What is area sqrt(6x-x^2),0,6 ?

The answer to area sqrt(6x-x^2),0,6 is (9pi)/2

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area sqrt(6x-x^2),0,6

area

6 x - x^{2}, 0, 6

\frac{9 π}{2}

Decimal

14.13716 \dots

Solution steps

Apply the area formula:

\int_{0}^{6} 6 x - x^{2} d x

Solve

\int_{0}^{6} 6 x - x^{2} d x : \frac{9 π}{2}

The area is:

= \frac{9 π}{2}

0.5 y^{^{''}} + 10 y^{^{'}} + 100 y = 150, y (0) = 0, y^{^{'}} (0) = 0

f (x) = \frac{7 x + 2}{8 x - 3}

f (x) = \frac{3 x + 4}{3 x - 4}

arcsin (4 x + 1)

\int (sin (2 x))^{3} (cos (2 x))^{2} d x