Calculus - Mathematics Jamb Past Questions and Answers

Question 131 :

• JAMB 2012

Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)

A. 1
B. 2
C. 3
D. 4

Question 132 :

• JAMB 2013

If y = x sin x, find \(\frac{\delta y}{\delta x}\)

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

Question 133 :

• JAMB 2013

If y = (2x + 2)\(^3\), find \(\frac{\delta y}{\delta x}\)

A. 3(2x +2)²
B. 6(2x +2)
C. 3(2x +2)
D. 6(2x +2)²

Question 134 :

• JAMB 2013

The radius of a circle is increasing at the rate of 0.02cms^-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

A. 0.75cm²S^-1
B. 0.53cm²S^-1
C. 0.35cm²S^-1
D. 0.88cm²S^-1

Question 135 :

• JAMB 2013

Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

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