Find the area contained between the x-axis and one arc of the curve y = cos x bounded between
\(x=-\frac { \pi }{ 2 } and\quad x=\frac { \pi }{ 2 } \)

Find the area under the demand curve xy = 1 bounded by the ordinates x = 3, x = 9 and x-axis

Find the area bounded by one arc of the curve y = sin ax and the x-axis.

Determine the cost of producing 3000 units of commodity if the marginal cost in rupees per unit is C'(x) = \(\frac{x}{3000}+2.50\)

The marginal revenue function is given by \(R'(x)=\frac { 3 }{ { x }^{ 2 } } -\frac { 2 }{ x } \). Find the revenue function and demand function if R(1) = 6