Question

Evaluate the definite integral from x=0 to x=1
the cubed root of (1 + 7x) dx

Answer 1

A substitution step would simplify the problem:
\[\int\limits_{0}^{1}(1+7x)^{\frac{1}{3}}dx\]
\[u = 1+7x\]
\[\frac{du}{dx} = 7 \]
\[dx = \frac{du}{7}\]

\[\frac{1}{7}\int\limits_{}^{}u^{\frac{1}{3}}du\]

Answer 2

you'll have to redo the bounds of integration (ie it was 0-1 when the integral was in terms of 'x', but now the integral is in terms of 'u')

Answer 3

ohhh that was why i messed up. thank you!

Answer 4

you got the new bounds?

Answer 5

yea i thought so, but my answer was wrong. it's okay though. it's only one point off my homework. thanks anyway!