Integration - Jamb Mathematics Past Questions and Answers

Question 51:

• JAMB 2015

\( \int x^2 \text{Sin}x \Delta x \)

A. −Cos x + 2xSin x + C
B. −Cos x + 2
C. X²Cos x + 2xSin x + 2Cos x+ C
D. −x²Cos x + 2xSinx + 2Cos x + C

Question 52:

• 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 53:

• 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 54:

• 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 55:

• JAMB 2016

Evaluate \(\int\)(cos4x + sin3x)dx

A. Sin4x - cos3x + k
B. Sin4x + cos3x + k
C. \(\frac{1}{4}\)sin4x - \(\frac{1}{3}\)cos3x + k
D. \(\frac{1}{4}\)sin4x + \(\frac{1}{3}\)cos3x + k