Question

write the formula about area with x Axis​

Answer 1

$\underline\mathtt\blue{Answer}$

An area is always positive, occasionally an integral is negative. It depends on whether you want the area or the value of the integral. Area is always positive, so you probably have counted integral ∫ba(y(x)−0)dx but have to count ∫ba(0−y(x))dx instead.

Answer 2

Revolving about the x−axis

• If the curve y=f(x), a≤x≤b is rotated about the x−axis, then the surface area is given by.
• If the curve is described by the function x=g(y), c≤y≤d, and rotated about the x−axis, then the area of the surface of revolution is given by.

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