Elective Mathematics

Question 1

1Reversing the limits changes the sign of a definite integral.

Medium

A. True B. False

Question 2

2Find the area bounded by y = 6x², the x-axis and the lines x = 1 and x = 3.

Medium

A. 156 square units B. 52 square units C. 58 square units D. 48 square units

Question 3

3Find the area bounded by y = 5x², the x-axis and the lines x = 1 and x = 4.

Medium

A. 110 square units B. 315 square units C. 75 square units D. 105 square units

Question 4

4Evaluate ∫ from 0 to 1 of x dx.

Easy

A. −0.5 B. 1.5 C. 0.5 D. 1

Question 5

5Evaluate ∫ from 1 to 3 of x dx.

Easy

A. 8 B. 4 C. 2 D. 5

Question 6

6Find the area under the line y = 4 from x = 2 to x = 4.

Easy

A. 16 square units B. 6 square units C. 12 square units D. 8 square units

Question 7

7∫ from 0 to 1 of 6x dx = ___ (decimal)

Easy

Your answer (fill in the blank)

Question 8

8∫ₐᵃ f(x) dx =

Easy

A. 1 B. a C. 0 D. f(a)

Question 9

9Evaluate ∫ from 1 to 3 of x⁴ dx.

Easy

A. 242 B. 48.4 C. 80 D. 49.4

Question 10

10Find the area bounded by y = 4x², the x-axis and the lines x = 1 and x = 3.

Medium

A. 38.67 square units B. 104 square units C. 34.67 square units D. 32 square units