Areas in Calculus question..?

Question

Areas: 
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 
y=7x, y=3x^2 

Answer 1

Given equations

y = 7x  and  y = 3x²

Find limit values of x by equating both equations.

3x² = 7x

3x² - 7x = 0

x ( 3x – 7 ) = 0

x = 0  ;   ( 3x – 7 ) = 0

x = 0  ;    3x = 7

x = 0  ;    x = 7/3

So area is bounded by limits x = 0 to x = 7/3.

Let f(x) = 7x  ( Upper curve )

g(x) = 3x²   ( Lower curve )

Solution :