Indefinite integral - Jamb Mathematics Past Questions and Answers

Question 11:

• JAMB 1997

Integrate \(\frac{1}{x}\) + cos x with respect to x

A. -\(\frac{1}{x^2}\) + sin x + k
B. X + sin x - k
C. X - sin x + k
D. -\(\frac{1}{x^2}\) - sin x + k

Question 12:

• 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 13:

• 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 14:

• 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

Question 15:

• JAMB 2002

Evaluate \(\int \sin 3x \mathrm d x\)

A. (2/3) cos 3x + c
B. (1/3) cos 3x + c
C. (-1/3) cos 3x + c
D. (-2/3) cos 3x + c