CALCULUS - Jamb Mathematics Past Questions and Answers

Question 101:

• JAMB 2006

If ^dy/_dx = x + cos x, find y

A. X² - sin x + c
B. X² + sin x + c
C. X²/2 - sin x + c
D. X²/2 + sin x + c

Question 102:

• JAMB 2006

Differentiate (cos θ - sin θ)\(^2\)

A. -2 cos 2θ
B. -2 sin2θ
C. 1 - 2 cos 2θ
D. 1 - 2 sin 2θ

Question 103:

• JAMB 2006

Evaluate \(\int_{-4}^0(1 - 2x)dx\)

A. -16
B. -20
C. 20
D. 10

Question 104:

• JAMB 2007

Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x

A. \(\frac{x^2}{2}-2\sqrt{x}+K\)
B. \(\frac{2(x^2 - x)}{3x}+K\)
C. \(\frac{x^2}{2}-\sqrt{x}+K\)
D. \(\frac{(x^2 - x)}{3x}+K\)

Question 105:

• JAMB 2007

If y = x cos x, find dy/dx

A. Sin x - x cos x
B. Sin x + x cos x
C. Cos x + x sin x
D. Cos x - x sin x