Evaluate the integral.
-$$\int _ { 0 } ^ { 1 / 5 } t ^ { 2 } d t$$
A) $- \frac { 1 } { 5 }$
B) $- \frac { 1 } { 375 }$
C) 375
D) $\frac { 1 } { 375 }$

Name: Evaluate the integral. -\[\int _ { 0 } ^ { 1 / 5 } t ^ { 2 } d t\] A) $- \frac { 1 } { 5 }$ B) $- \frac { 1 } { 375 }$ C) 375 D) $\frac { 1 } { 375 }$
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Question

Quizplus · Accepted Answer

We simply apply the power rule of integration to get $\frac{1}{3} t^3 |_0^{1/5} = \frac{1}{3} \left(\frac{1}{5}\right)^3 = \frac{1}{375}$. Therefore, the correct answer is D.

Evaluate the Integral ∫01/5t2dt\int _ { 0 } ^ { 1 / 5 } t ^ { 2 } d t∫01/5​t2dt

Evaluate the Integral $\int _ { 0 } ^ { 1 / 5 } t ^ { 2 } d t$