CALCULUS - Jamb Mathematics Past Questions and Answers

Question 56:

• JAMB 1995

Find the area bounded by the curve y = 3x\(^2\) - 2x + 1, the ordinates x = 1 and x = 3 and the x-axis.

A. 24
B. 22
C. 21
D. 20

Question 57:

• JAMB 1997

Find the minimum value of X² - 3x + 2 for all real values of x

A. -\(\frac{1}{4}\)
B. -\(\frac{1}{2}\)
C. \(\frac{1}{4}\)
D. \(\frac{1}{2}\)

Question 58:

• JAMB 1997

Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x

A. \(\frac{2 + 2}{3x^3}\)
B. 2 + \(\frac{1}{6x}\)
C. 2 - \(\frac{2}{3x^3}\)
D. \(\frac{1}{5}\)

Question 59:

• JAMB 1997

\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to

A. -sin(6x - 2)
B. -sin(3x² - 2x)dx
C. (6x - 2) sin(3x² - 2x)
D. -(6x - 2)sin(3x² - 2x)

Question 60:

• 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