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Mathematics 21 Online
OpenStudy (anonymous):

Integral of square root of 2x+1??

OpenStudy (nincompoop):

I guess you didn't learn anything for your post earlier?

OpenStudy (anonymous):

Oh I must've not seen it

OpenStudy (nincompoop):

the rule is that integral x^n dx = [x^(n+1)]/(n+1) + C

OpenStudy (nincompoop):

and have you learned about integration by substitution yet?

OpenStudy (anonymous):

I have but I struggle with square root problems, I kind of blank out on what my next move should be.

OpenStudy (nincompoop):

square root of x is written in exponent form x^(1/2)

OpenStudy (nincompoop):

but it is not as straight-forward in this case since you have sqrt(2x+1) if you remember in differentiation, you use chain rule, here you will be using substitution

OpenStudy (nincompoop):

so by substitution we will make 2x+1 = u; and u' = 2 dx our new integral would be 1/2 integral of sqrt(u) du can you do the rest?

OpenStudy (anonymous):

I can! Thank you so much :)

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