Find the area of the region bounded by curves fx-cos- x and x-axis where x- -0-1-

A=∫ _ 0 ^ 1 cosπ x #160; dx A= [ sinπ x ] _ 0 ^ 1 A= sinπ #160; +sin 0 A=0 ...

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Integration of Piecewise Continuous Functions

Find the area...

Question

Find the area of the region bounded by curves $f (x) = cos π x$ and x-axis where $x ϵ [0, 1]$

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Solution

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Similar questions

f (x) = sin π x

x ϵ [- 1, 2]

f (x) = max {s i n x, c o s x, \frac{1}{2}}

x = 2 π

y = sin π x

x

x \in [0, 2]

f (x) =

{x^{2}, {(1 - x)}^{2}, 2 x (1 - x)}

0 \leq x \leq 1

y = f (x)

x \in [0, \frac{1}{3}], [\frac{1}{3}, \frac{2}{3}], [\frac{2}{3}, 1]

x -

S_{1}, S_{2}, S_{3}

f (x) =

{sin x, cos x, \frac{1}{2}}

y = f (x), x -

y -

x = 2 π

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