Integration - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 1994

Evaluate \(\int^{1}_{-1}(2x + 1)^2 \mathrm d x\)

A. 3\(\frac{2}{3}\)
B. 4
C. 4\(\frac{1}{3}\)
D. 4\(\frac{2}{3}\)

Question 22:

• 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

Question 23:

• JAMB 1997

If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).

A. \(\frac{11}{12}\)
B. 1
C. \(\frac{5}{6}\)
D. Zero

Question 24:

• JAMB 1998

Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

A. \(\frac{\pi}{2}\)
B. \(\pi\) - 2
C. \(\frac{\pi}{3}\)
D. \(\pi\) + 2

Question 25:

• JAMB 1999

Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}
Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)

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