Evaluate int 2 0 x 3 x 2 dx - JAMB Mathematics 2010 Question
Evaluate \(\int^{2}_{0}(x^3 + x^2)\)dx.
A
4\(\frac{5}{6}\)
B
6\(\frac{2}{3}\)
C
1\(\frac{5}{6}\)
D
2\(\frac{5}{6}\)
correct option: b
(\int^{2}{0}(x^3 + x^2))dx = (\int^{2}{0})((\frac{x^4}{4} + {\frac {x^3}{3}}))
= ((\frac{2^4}{4} + {\frac {2^3}{3}})) - ((\frac{0^4}{4} + {\frac {0^3}{3}}))
= ((\frac{16}{4} + {\frac {8}{3}})) - 0
= (\frac{80}{12}
= {\frac {20}{3}}) or 6(\frac{2}{3})
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