Find the area between x-axis and the curve y = cos x, `(pi)/(2) le x le (3pi)/(2)`.

Find the area between the curves y = x and y = x^(2) .

Find the area of the region bounded by the x-axis and the curves defined by y = tanx , (where (-pi)/(3) le x le (pi)/(3) ) and y = cotx .(where (pi)/(6) le x le (2pi)/(3) )

Find the tangent and normal to the following curves at the given points on the curve. y= x sin x " at " ((pi)/(2), (pi)/(2))

The area bounded by the y-axis, y = cos x and y = sin x when 0 le x le (pi)/(2) is

Find the area between the curve y=x^2-x-2,x axis and the lines x=-2 and x=4 .

Find the area of the region bounded by x-axis, the curve y=|cosx| , the lines x=0 and x=pi .

The positive valu of the parameter 'k' for which the area of the figure bounded by the curve y=sin(kx),x=(2pi)/(3k),x=(5pi)/(3k) and x-axis is less than 2 can be

Find the equation of tangents to the curve y = cos(x + y), – 2pi lt= x lt= 2pi that are parallel to the line x + 2y = 0.