Calculus - Mathematics Jamb Past Questions and Answers

Question 6 :

• JAMB 2019

Integrate \(\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x\).

A. \(-2x^{-2} - \frac{7}{3}x^3 + \frac{5}{2} x^2 - 6x\)
B. \(2x^2 + \frac{7}{3} x^3 - 5x + 6\)
C. \(12x^2 + 14x - 5\)
D. \(-12x^{-4} - 14x + 5\)

Question 7 :

• JAMB 2019

If y = 8x\(^3\) - 3x\(^2\) + 7x - 1, find \(\frac{\mathrm d^2 y}{\mathrm d x^2}\).

A. 48x - 6
B. 11x\(^2\) + 6x - 7
C. 32x + 7
D. 24x\(^2\) - 6x + 7

Question 8 :

• JAMB 2019

Differentiate \(\frac{2x}{\sin x}\) with respect to x.

A. \(2 \cot x \sec x (1 + \tan x)\)
B. \(2 \csc x - x \cot x\)
C. \(2x \csc x + \tan x\)
D. \(2\csc x(1 - x\cot x)\)

Question 9 :

• JAMB 2018

Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx

A. 1.47
B. 2.67
C. 3.23
D. 3.47

Question 10 :

• JAMB 2018

Find the equation of the tangent at the point (2, 0) to the curve y = x\(^2\) - 2x

A. Y = 2x - 4
B. Y = 2x + 4
C. Y = 2x - 2
D. Y = 2x + 2