Question

Can someone check my answer real quick?

Answer 1

Use one variable to write a definite integral whose value equals the volume of the solid when y = tan x and is rotated around the line x = -1

Answer 2

Forgot the put the bounds above, but it's 0 to 1
\[\pi \int\limits_{0}^{1} (1+x) \tan (x) dx\]
Is this correct? If not, why?

Answer 3

By shells :
\[dV = 2\pi r *y *dx = 2\pi (1+x)*\tan x *dx\]

Answer 4

integrate that between x=0 and x=1 to get he entire volume :

\[V = \int\limits_0^1 dV = \int\limits_0^1 2\pi (1+x)*\tan x *dx\]

Answer 5

Looks you're missing a \(2\)

Answer 6

ill help

Answer 7

ill help