the solid lies between planes perpendicular to the x-axis at x=-1 and x=1. the cross-sections perpendicular to the x-axis are a. circles whose diameters stretch from the curve y=-1/(sqrt(1+x^2)) to the curve y=1/(1+x^2) b. vertical squares whose base edges run along the same ends

Darryl English 2022-07-25 Answered
the solid lies between planes perpendicular to the x-axis at x=-1 and x=1. the cross-sections perpendicular to the x-axisare
a. circles whose diameters stretch from the curve y = 1 1 + x 2 to the curve y = 1 1 + x 2
b. vertical squares whose base edges run along the same ends
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Answers (1)

suponeriq
Answered 2022-07-26 Author has 10 answers
Have you had the derivatives of inverse trigonometric functions yet?
d d x [ tan 1 ( x ) ] = 1 1 + x 2
If so you can use the definition of the anti-derivative to deduce
d d x [ tan 1 ( x ) ] = 1 1 + x 2 1 1 + x 2 d x = tan 1 ( x )
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