Evaluate int 1 2 2x 3 dx - SS3 Mathematics Integral Calculus (Integration) Question
Evaluate \(\int_{1}^{2}{2x^{3}}dx\)
A
11
B
7.5
C
9
D
15
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Correct Option: B
\(\int_{1}^{2}{2x^{3}}dx = \ \left\lbrack \frac{2x^{4}}{4} \right\rbrack_{1}^{2} = \left\lbrack \frac{x^{4}}{2} \right\rbrack_{1}^{2} = \left\lbrack \frac{{(2)}^{4}}{2} \right\rbrack - \left\lbrack \frac{(1)^{4}}{2} \right\rbrack = \frac{16}{2} - \frac{1}{2} = \frac{15}{2} = 7.5\)
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