Problem 863

Sir SagarJuly 13, 2015July 20, 20150

Find the area of the region enclosed by the following curves

y = sec²x,

y = tan²x,

x = $\frac{-\pi}{6}$ , and

x = $\frac{\pi}{6}$

Solution:-

The area of the region enclosed by the curves is $\frac{ \pi }{3}$ .

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