Integration - Jamb Mathematics Past Questions and Answers

Question 16:

• 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 17:

• JAMB 2013

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

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

Question 18:

• JAMB 1992

Evaluate the integral \(\int^{\frac{\pi}{4}}_{\frac{\pi}{12}} 2 \cos 2x \mathrm {d} x\)

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

Question 19:

• JAMB 1993

Integrate \(\frac{1 - x}{x^3}\) with respect to x

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

Question 20:

• JAMB 1993

Integrate \(\frac{1 - x}{x^3}\) with respect to x

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