Integration - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 1999

Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)

A. \(\frac{-10}{3}\)
B. 7
C. 9
D. 11

Question 27:

• JAMB 2000

Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)

A. π
B. π/2
C. -π/2
D. -π

Question 28:

• JAMB 2000

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

A. Y = (3x²/)2 + 2x
B. Y = (3x²)/2 + x
C. Y = 3x² + (x/2)
D. Y = 3x² +2x

Question 29:

• JAMB 2000

The expression ax² + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?

A. 1, 3, 1
B. 1, 2, 1
C. 2, 1, 1
D. 1, 1, 3

Question 30:

• JAMB 2001

Evaluate \(\int 2(2x - 3)^{\frac{2}{3}} \mathrm d x\)

A. 3/5(2x-3)^5/3 + k
B. 6/5(2x-3)^5/3 + k
C. 2x-3+k
D. 2(2x-3)+k