Consider the region in the first quadrant enclosed by the parabola and the straight line
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
Consider the region in the first quadrant enclosed by the parabola y2=4x and the straight line x+y=6.
(i) Solve the simultaneous equations of the two curves to obtain their points of intersection.
(ii) Show, with the help of a rough sketch, how the region is bounded.
(iii) Evaluate the exact area of the region, choosing limits and integrand suited to a single definite integral.