Evaluate the integral.
-$$\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { v ^ { 6 } } v d u d v$$
A) $\frac { 1 } { 8 }$
B) $\frac { 2 } { 7 }$
C) $\frac { 2 } { 8 }$
D) $\frac { 1 } { 7 }$

Name: Evaluate the integral. -\[\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { v ^ { 6 } } v d u d v\] A) $\frac { 1 } { 8 }$ B) $\frac { 2 } { 7 }$ C) $\frac { 2 } { 8 }$ D) $\frac { 1 } { 7 }$
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Question

Quizplus · Accepted Answer

The integral simplifies to $\int_{0}^{1} v(v^6) dv = \int_{0}^{1} v^7 dv = \frac{1}{8}v^8 \Big|_{0}^{1} = \frac{1}{8}$.

Evaluate the Integral ∫01∫0v6vdudv\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { v ^ { 6 } } v d u d v∫01​∫0v6​vdudv

Evaluate the Integral $\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { v ^ { 6 } } v d u d v$