Find the area under the curve f(x)=cosx in [0,`2pi`]

Find the area under the curve f(x) =sinx in [0, 2pi ]

Find the area under the curve f(x)=2x from[0,2].

Find the area under the curve f(x)=x^(3/2) from[0,2]

Find the area under the curve y=cosx over the interval (a) [0,(pi)/(2)] (b) [0,pi]

Find the area under the curve y=cosx over the interval (a) [0,(pi)/(2)] (b) [0,pi]

(a). Find the area under the curve y=cosx over the interval [0,pi//2] and [0,pi]

Find the area bounded by the curve f(x)=x+ sin x and its inverse function between the ordinates x=0" to "x=2pi .

Find the area bounded by the curve f(x)=x+ sin x and its inverse function between the ordinates x=0" to "x=2pi .

Find the area bounded by the curve f(x)=x+ sin x and its inverse function between the ordinates x=0" to "x=2pi .

(i) Show that the areas under the curves f(x)=cos^2x and f(x)=sin^2x between x=0 and x=pi are 1:1.