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 Answer: Option B
Explanation
(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})