Integration - Jamb Mathematics Past Questions and Answers

Question 46:

• JAMB 2012

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

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

Question 47:

• 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. \(x^{2} - \frac{1}{x} + k\)

Question 48:

• JAMB 2013

Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)

A. -2
B. 2
C. 1
D. -1

Question 49:

• JAMB 2014

Evaluate \(\int \sin 2x dx\)

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

Question 50:

• JAMB 2014

Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)

A. \(\frac{1}{12} (2x + 3)^6 + k\)
B. \(\frac{1}{3} (2x + 3)^{\frac{1}{2}} + k\)
C. \(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
D. \(\frac{1}{12} (2x + 3)^{\frac{3}{4}} + k\)