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# C4 Integration by Substitution Question watch

1. Use the substitution
u = 1 + sin (x)
to show the integral of
sin(x)cos(x)(1+sin(x))^5 dx = 1/42 (1+sin(x))^6 (6sin(x)-1) + c

its from a past edexcel paper, not sure which one
possibly cos(x) = root2 -u
any help would be appreciated
2. You don't need to try to obtain cos x. Have you found du/dx yet? All will become clear.
3. (Original post by Mr M)
You don't need to try to obtain cos x. Have you found du/dx yet? All will become clear.
oh ye, i keep forgetting that!
4. (Original post by Mr M)
You don't need to try to obtain cos x. Have you found du/dx yet? All will become clear.
cheers mate
5. No problem. Well done for sorting it out yourself.
6. (Original post by Mr M)
No problem. Well done for sorting it out yourself.
ye, my teacher has given us a mammoth homework - 20 exams questions, which is like 3 papers worth, 4 and a half hours worth, all integration!
and we only have 2 nights to do it

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