Home » Evaluate (int^{2}_{0}(x^3 + x^2))dx.

Evaluate (int^{2}_{0}(x^3 + x^2))dx.

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})

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