Integration question

Hi, same question different part 😅 I’ve attached my working this time
Can someone help with how I’m meant to do part b? I’ve gotten as far as I can but I don’t know how to get the expression from part a into my integral (in terms of t)?

half the question is cut off the side so i can’t really see it lol. try posting a screenshot?

Reply 2

mqb2766

21

Original post by blizzardliz

Hi, same question different part 😅 I’ve attached my working this time
Can someone help with how I’m meant to do part b? I’ve gotten as far as I can but I don’t know how to get the expression from part a into my integral (in terms of t)?

Think youre along the right lines. Just cancel t terms and take whats left inside the root and you should get something like
t^2 + 2t
inside the root. Think about completing the square and then a simple transformation/substitution between t and u.

Edit - its probably worth noting that a sub u^2 = 2x+7 would be arguably simpler.

(edited 10 months ago)

Reply 3

blizzardliz

OP

12

Original post by mqb2766

Think youre along the right lines. Just cancel t terms and take whats left inside the root and you should get something like
t^2 + 2t
inside the root. Think about completing the square and then a simple transformation/substitution between t and u.

Edit - its probably worth noting that a sub u^2 = 2x+7 would be arguably simpler.

Okay I'll try that, thanks for the help :yy:

Reply 4

moonlight2460

8

what paper this is?

Original post by blizzardliz

Hi, same question different part 😅 I’ve attached my working this time
Can someone help with how I’m meant to do part b? I’ve gotten as far as I can but I don’t know how to get the expression from part a into my integral (in terms of t)?