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Mathematics 11 Online
OpenStudy (anonymous):

Evaluate the following integrals.

OpenStudy (anonymous):

terenzreignz (terenzreignz):

\[\Large \int x \sin(x^2)\cos(x^2) dx\] Lovely XD Does a u-substitution come to mind? :D

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

this is what I got, is it correct? \[\frac{ (\sin(x ^{2}))^{2} }{ 4 } + C\]

terenzreignz (terenzreignz):

The easiest way to test if you're correct is to just differentiate. haha

OpenStudy (anonymous):

how?

terenzreignz (terenzreignz):

Derivative? lol

OpenStudy (anonymous):

so using this formula \[\int\limits_{0}^{X}\sqrt{(1+t ^{3})}dt\]

terenzreignz (terenzreignz):

What in the blazes is that? D:

OpenStudy (anonymous):

im just gonna input my answer and hope i get it right.

terenzreignz (terenzreignz):

To your first integral?

OpenStudy (anonymous):

OMG I GOT IT. thanks anyways for your help.

terenzreignz (terenzreignz):

Uhh... great? lol.... I don't exactly understand what happened (or what that second integral was for) but your first integral was answered correctly, so... yeah :D

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