Q. 253.5( 2 Votes )

# If A_{n} is the area bounded by the curve y = (tanx)^{n} and the lines x = 0, y = 0 and , then prove that:

Answer :

Given; y =(tan x)^{n} and x = 0, y = 0 and

Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .

Hence Proved

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