hiralpatel121
Need help with attached problem.



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hiralpatel121
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Spacelimbus
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Write it in exponential form.

eseidl
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then use power rule

hiralpatel121
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How?

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

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

hiralpatel121
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Then what?

helder_edwin
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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?

hiralpatel121
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Do I put 1/5 in front of x and subtract the exponent by 1?

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

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

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

hiralpatel121
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1/5x

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

helder_edwin
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so @hiralpatel121 ?

eseidl
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the fraction is 2/11 not 2/10

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

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