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Mathematics 19 Online
OpenStudy (amy0799):

http://prntscr.com/9rpan4

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

i think this is a calculator exercise, but perhaps @SolomonZelman has another way

OpenStudy (amy0799):

I think it is also but my teacher never told me

OpenStudy (misty1212):

\[F(0)=-\pi +\int _{\pi}^0\sin(x^2+x+1)dx\]i think should do it i would get a second opinion though

OpenStudy (amy0799):

shouldn't you be subtracting?

OpenStudy (misty1212):

sure if you change the limits of integration of the second one 1

OpenStudy (misty1212):

\[F(0)=-\pi -\int _0^{\pi}\sin(x^2+x+1)dx\]

OpenStudy (misty1212):

\[\int_a^0f(x)dx=\int_a^{\pi}f(x)dx-\int_0^{\pi}f(x)dx\] i think is right, check it

OpenStudy (misty1212):

i used wolfram to get an answer http://www.wolframalpha.com/input/?i=-pi+-+int+0+to+pi+of+sin%28x%5E2%2Bx%2B1%29dx

OpenStudy (amy0799):

Ok cool, I got the same answer, thanks for the help! @misty1212

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