Evaluate \(\int_0^1 4x - 6\sqrt[3] {x^2}dx\)
A
- \(\frac{5}{8}\)
B
- \(\frac{8}{5}\)
C
\(\frac{8}{5}\)
D
\(\frac{5}{8}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\int_0^1 4x - 6^3\sqrt x^2\) dx
=\(\int_0^1 4x - 6x^{2/3}\) dx
=\((2x^2 - \frac{8x^{5/3}}{5})_0^1\)
=\((2(1)^2 - \frac{18(1)^{5/3}}{5}) - (2(0)^2 - \frac{18(0)^{5/3}}{5}\)
= - \(\frac{8}{5}\) - 0
- \(\frac{8}{5}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #67248)