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Integration help FP2

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I now have the limits as 1 and 0. And have the integration as 1/((t+ 0.5)^2 + 0.75) but I'm still not sure how to integrate this?
Reply 1
Avatar for Zacken
Zacken
22
Original post by Cxhloeee
image.jpg

I now have the limits as 1 and 0. And have the integration as 1/((t+ 0.5)^2 + 0.75) but I'm still not sure how to integrate this?


You should have a section in your formula booklet telling you that ∫1x2+a2 dx=1aarctan⁡xa\int \frac{1}{x^2 + a^2 } \, \mathrm{d}x = \frac{1}{a}\arctan \frac{x}{a}. So just plug that in with a=0.75a = \sqrt{0.75} and x=t+0.5x = t + 0.5
Reply 2
Avatar for Cxhloeee
Cxhloeee
OP
Original post by Zacken
You should have a section in your formula booklet telling you that ∫1x2+a2 dx=1aarctan⁡xa\int \frac{1}{x^2 + a^2 } \, \mathrm{d}x = \frac{1}{a}\arctan \frac{x}{a}. So just plug that in with a=0.75a = \sqrt{0.75} and x=t+0.5x = t + 0.5


Thank you!! ☺️
Reply 3
Avatar for Zacken
Zacken
22
Original post by Cxhloeee
Thank you!! ☺️


No problem.

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