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Hello. Can someone help me with the following Calculus II quiz?
1. Evaluate each integral by making an appropriate substitution.
x
∫ x 2+4 dx
(a)
x −x (b) dx
∫0 ee x−e
+e− x (c) ∫ tan x sec4 xdx 1 2. Find the area of the region bounded above by the graph of g( x)=1
2 and below by the graph of f (x )=x +2 x−2 . 3. Let R be the closed region between the graphs of y=2 √ x and y=2 x
Find the volume V of the solid obtained by revolving R about the x- axis. on the interval [0, 1]. 4. Let R be the closed region between the graphs of y=2 √ x and y=2 x on the
interval [0, 1]. Find the volume V of the solid obtained by revolving R about the y- axis.
(Same graph as for Problem3) 2
f (x )= x 3/2
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