Evaluate the following definite integral by the limit definition. $$\int _ { 5 } ^ { 10 } 15 u ^ { 2 } d u$$
A) 4375
B) $\frac { 12328 } { 3 }$
C) 4372
D) 1125
E) $\frac { 4375 } { 3 }$

Question

Quizplus · Accepted Answer

The definite integral $\int _ { 5 } ^ { 10 } 15 u ^ { 2 } d u$ can be evaluated using the antiderivative method. The antiderivative of $15u^2$ is $5u^3$. Applying the limits from 5 to 10, we get $$5(10)^3 - 5(5)^3 = 5000 - 625 = 4375.$$

Evaluate the Following Definite Integral by the Limit Definition ∫51015u2du\int _ { 5 } ^ { 10 } 15 u ^ { 2 } d u∫510​15u2du

Evaluate the Following Definite Integral by the Limit Definition $\int _ { 5 } ^ { 10 } 15 u ^ { 2 } d u$