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Mathematics 20 Online
OpenStudy (anonymous):

Evaluate the integral.

OpenStudy (anonymous):

\[\sqrt{1+\sin^{2}x} sinxcosx dx\]

OpenStudy (anonymous):

what is the trig id of 1+sin^2x?

OpenStudy (anonymous):

sorry \[1+\sin ^{2}x\]

OpenStudy (anonymous):

cos^2

OpenStudy (anonymous):

is the answer: 1/3(sin^2x+1)^3/2 +c??

OpenStudy (anonymous):

sub in cos^2

OpenStudy (amistre64):

s^2 + c^2 = 1 c^2 = 1 - s^2 you sure your post is correct?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

was my answer correct?

OpenStudy (amistre64):

\[cos^2 \ne \sqrt{1+sin^2}\]

OpenStudy (anonymous):

is the answer: 1/3(sin^2x+1)^3/2 +c??

OpenStudy (amistre64):

not if youve posted your question correctly :/

OpenStudy (anonymous):

thats what wolframalpha told me :(

OpenStudy (amistre64):

and you dont trust the wolf? cause I was assuming you were subbing in cos for sqrt(1+sin^2)

OpenStudy (anonymous):

i let u=sin^2x+1 and du=2sinxcosx

OpenStudy (amistre64):

that seems a smart thing to do :)

OpenStudy (anonymous):

well thats the answer i got then.

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