Evaluate the Integral- Calculus II

Question

anonymous · Answer

attachment

zepdrix · Answer

That 4 is the degree of the root, it's not an exponent, correct?

anonymous · Answer

correct
the nth root

zepdrix · Answer

hmmmm

anonymous · Answer

It got me stuck because of that reason

zepdrix · Answer

Oh lol.
It's a lot easier than it looks.

I had to check wolfram cause I was stuck :3

Ok ok ok here's what we'll do...

anonymous · Answer

i can figure out, how to show it on wolframalpha

anonymous · Answer

i can't*

zepdrix · Answer

$$\large \color{royalblue}{u=x+5} \qquad\rightarrow\qquad \color{orangered}{x=u-5}$$$$\large \color{green}{du=dx}$$


$$\large \int\limits\limits \color{orangered}{x}(\color{royalblue}{x+5})^{1/4}\color{green}{dx} \qquad\rightarrow\qquad \int\limits\limits (\color{orangered}{u-5})(\color{royalblue}{u})^{1/4}\color{green}{du}$$

zepdrix · Answer

In wolfram, after you've entered the problem, there's a button near the answer, it says `Step-by-step solution`.

zepdrix · Answer

Wolfram decided to be lame about a year ago,
So you only get access to like 5 step-by-step solutions per day if you're not a premium member.

anonymous · Answer

It's not coming up.

zepdrix · Answer

weird :U

anonymous · Answer

I'm not able to get 4nthroot to show up correctly

zepdrix · Answer

http://www.wolframalpha.com/input/?i=integral+x%28x%2B5%29%5E%281%2F4%29dx Are you entering it correctly? Just do it as a fractional exponent.

anonymous · Answer

okay thank you- That actually worked out better. I have another problem i will be posting shortly.