Indefinite integral - Jamb Mathematics Past Questions and Answers

Question 6:

• 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 7:

• JAMB 2014

Evaluate \(\int \sin 2x dx\)

A. Cos 2x + k
B. \(\frac{1}{2}\)cos 2x + k
C. \(-\frac{1}{2}\)cos 2x + k
D. -cos 2x + k

Question 8:

• 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 9:

• JAMB 1993

Integrate \(\frac{1 - x}{x^3}\) with respect to x

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

Question 10:

• JAMB 1993

Integrate \(\frac{1 - x}{x^3}\) with respect to x

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