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integrating a parametric question

x=5cost y=3sin2t

need to integrate -15sin^2tcost
-the limits for x are 5 and 0.
-I changed the limits to 0 and pi/2
-Got 5 as my final answer, but the answer is 10?
Reply 1
Could you upload your working?
Original post by theweirdo
x=5cost y=3sin2t

need to integrate -15sin^2tcost
-the limits for x are 5 and 0.
-I changed the limits to 0 and pi/2
-Got 5 as my final answer, but the answer is 10?
Reply 2
Original post by mqb2766
Could you upload your working?

Yup :smile:
Reply 3
Original post by theweirdo
Yup :smile:

Assuming you used the double angle formula for sin2t in the third line, I think you didn't multiply the 15 by 2
Original post by theweirdo
x=5cost y=3sin2t

need to integrate -15sin^2tcost
-the limits for x are 5 and 0.
-I changed the limits to 0 and pi/2
-Got 5 as my final answer, but the answer is 10?

Is it because you are meant to multiply your answer by 2 because you found the area above the x-axis only? can you upload the full question please.
Reply 5
Original post by GreenDeath
Is it because you are meant to multiply your answer by 2 because you found the area above the x-axis only? can you upload the full question please.


yup, sure
Reply 6
That's what I think OP did wrong as well.
Original post by I'm God
Assuming you used the double angle formula for sin2t in the third line, I think you didn't multiply the 15 by 2
Reply 7
Original post by I'm God
Assuming you used the double angle formula for sin2t in the third line, I think you didn't multiply the 15 by 2

omg yes i did forget to do that!
i didn't see that! i'll try the question again
thank you :smile:
Same should be -30sin^2tcost
Original post by hahaweeb
That's what I think OP did wrong as well.
Reply 9
Original post by B0redBrioche
Same should be -30sin^2tcost

Original post by hahaweeb
That's what I think OP did wrong as well.

Original post by I'm God
Assuming you used the double angle formula for sin2t in the third line, I think you didn't multiply the 15 by 2

tried this and it worked :smile: thank you!
Original post by theweirdo
tried this and it worked :smile: thank you!


Nice! :top:
No worries mate :smile:

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