CALCULUS - Jamb Mathematics Past Questions and Answers

Question 141:

• JAMB 2014

Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)

A. \(\frac{1}{12} (2x + 3)^6 + k\)
B. \(\frac{1}{3} (2x + 3)^{\frac{1}{2}} + k\)
C. \(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
D. \(\frac{1}{12} (2x + 3)^{\frac{3}{4}} + k\)

Question 142:

• JAMB 2015

Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx

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

Question 143:

• JAMB 2016

Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x

A. \(\frac{2x^3}{3}\) - 2x + k
B. X³ + 2x + k
C. \(\frac{2x^3}{3}\) + 2x + k
D. X³ - 2x + k

Question 144:

• JAMB 2016

Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x

A. \(\frac{2x^3}{3}\) - 2x + k
B. X³ + 2x + k
C. \(\frac{2x^3}{3}\) + 2x + k
D. X³ - 2x + k

Question 145:

• JAMB 2016

Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)

A. 2( \(\frac{1}{3}\)X + 6
B. \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
C. \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)²
D. \(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)²