Three straight lines bound a triangular region in the first quadrant:
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
Three straight lines bound a triangular region in the first quadrant:
y=6−x, y=2x and the x–axis.
(i) Draw a labelled sketch of the three lines and shade the triangular region.
(ii) Decide whether a single integral with respect to x or with respect to y will evaluate the area with the least algebraic effort. Justify your decision in one sentence.
(iii) Calculate the exact area of the triangular region using the orientation chosen in part (ii).