Question

Need help with attached problem.

Answer 1

Write it in exponential form.

Answer 2

then use power rule

Answer 3

How?

Answer 4

\[=\int\limits_{}^{}x^\frac{2}{11}dx\]

Answer 5

recall:\[\int\limits_{}^{}x^n=\frac{1}{n+1}x^{n+1}\]

Answer 6

Then what?

Answer 7

this is the general case
in your case you have
\[ \large \sqrt[10]{x^2}=x^{2/10}=x^{1/5} \]
can u go on?

Answer 8

Do I put 1/5 in front of x and subtract the exponent by 1?

Answer 9

no. u are integrating. se the last post of eseidl

Answer 10

This one is identical to the ones we have done yesterday @hiralpatel121 (-: it's all the exponent law of integration.

Answer 11

so far you have
\[ \large \int\sqrt[10]{x^2}\,dx=\int x^{1/5}\,dx=\frac{1}{?}x^? \]

Answer 12

1/5x

Answer 13

in the last post of eseidl u put n=1/5

Answer 14

so @hiralpatel121 ?

Answer 15

the fraction is 2/11 not 2/10

Answer 16

right. sorry about that. it is in fact 2/11

Answer 17

Just put n=2/11 into the formula I gave you above. I assume you are good with adding fraction, etc.