Given the list of derivatives for inverse trigonometric functions below, what most looks like the integral of inverse cotangent (), given the following choices. Hint: To derive this integral, we use integration by parts.
a.
b.
c.
d.
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Inverse Function and Area
(a) Let be the inverse function of f. Use integration by parts to derive the formula
(b) Use the formula in part (a) to find the integral
(c) Use the formula is part (a) to find the area under the graph of , (see figure)
(c) Use the formula in part (a) to find the area under the graph of (see figure)
(c) Use the formula in part (a) to find the area under the graph of (see figure).
Figure for 9
