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anonymous
 4 years ago
integrate ... x^3/sqrt(x^25)
anonymous
 4 years ago
integrate ... x^3/sqrt(x^25)

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myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[u=x^25=> du=2x dx \text{ and } u=x^25=>u+5=x^2\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[\text{ write } x^3 \text{ as } x^2 \cdot x \text{ first}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how do u do it? i think its other style...

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[\int\limits_{}^{}\frac{x^2 \cdot x}{\sqrt{x^25}} dx\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[\int\limits_{}^{}\frac{(u+5)}{\sqrt{u}} \frac{du}{2}\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[\frac{1}{2} \int\limits_{}^{}u^\frac{1}{2}(u+5) du\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[x^2=u+5; x dx =\frac{du}{2}; x^25=u\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3dw:1326765483867:dw

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3dw:1326765512903:dw

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3we need to integrate to find the answer

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[\frac{1}{2} \int\limits\limits_{}^{}u^\frac{1}{2}(u+5) du \] \[\frac{1}{2} \int\limits_{}^{}(u^\frac{1}{2}+5 u^\frac{1}{2}) du\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0do i need to correct du with 1/2?? since the derivattive is 2x??

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3\[u=x^25=> du=2x dx \text{ and } u=x^25=>u+5=x^2 \] remember i wrote this ?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3if you solve for x dx you get du/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i learned new trick xD thanks =D

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.3recall this to finish evaluating the integral \[\int\limits_{}^{} b^n db=\frac{b^{n+1}}{n+1}+C , n \neq 1 \]
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