CALCULUS - Jamb Mathematics Past Questions and Answers

Question 61:

• 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 62:

• JAMB 1998

If y = 243(4x + 5)^-2, find \(\frac{dy}{dx}\) when x = 1

A. \(\frac{-8}{3}\)
B. \(\frac{3}{8}\)
C. \(\frac{9}{8}\)
D. -\(\frac{8}{9}\)

Question 63:

• JAMB 1998

Differentiate \(\frac{x}{cosx}\) with respect to x

A. 1 + x sec x tan x
B. 1 + sec² x
C. Cos x + x tan x
D. X sec x tan x + secx

Question 64:

• JAMB 1998

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

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

Question 65:

• 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. \(1-\sqrt{2}\)