Calculus - Mathematics Jamb Past Questions and Answers

Question 51 :

• 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 52 :

• JAMB 1995

The derivative of cosec x is

A. Tan x cosec x
B. -cot x cosec x
C. Tan x sec x
D. -cot x sec x

Question 53 :

• JAMB 1995

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

A. 2x² - 3x + 5
B. 2x² - 3x + 3
C. 2x² - 3x
D. 4

Question 54 :

• JAMB 1995

The derivative of cosec x is

A. Tan x cosec x
B. -cot x cosec x
C. Tan x sec x
D. -cot x sec x

Question 55 :

• JAMB 1995

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

A. 2x² - 3x + 5
B. 2x² - 3x + 3
C. 2x² - 3x
D. 4