Chapter 8
Find the area under the given curves and given lines: (i) y = x2, x = 1, x = 2 and x-axis (ii) y = x4, x = 1, x = 5 and x-axis
Sketch the graph of y = 3x + and evaluate .
Find the area bounded by the curve y = sin x between x = 0 and x = 2π . Choose the correct answer in the following Exercises from 4 to 5.
Area bounded by the curve y = x3, the x-axis and the ordinates x = - 2 and x = 1 is (A) - 9 (B) 15 / − (C) 15 / 4 (D) 17
The area bounded by the curve y = x | x | , x-axis and the ordinates x = - 1 and x = 1 is given by
(A) 0 (B) 1 / 3 (C) 2 / 3 (D) 4 [Hint : y = x2 if x > 0 and y = - x 2 if x < 0].