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# A2 Maths Integration my Substitution Help watch

1. I'm unsure on how I'd integrate 6sin(x)cos^3(x)?
Thanks
2. You don't have to use substitution to integrate that. See what happens when you differentiate cos^4(x), it should be something very similar.
3. By substitution:

Let u = cosx. When you find dx you'll see why this is nice.

Alternatively, you don't need a substitution. Notice that sin is the differential of cos. Try raising the power of cos to 4 and see what you need to put in front and check it by differentiating your answer. (it'll produce a sin)
4. (Original post by Grewsters)
I'm unsure on how I'd integrate 6sin(x)cos^3(x)?
Thanks
I would write and sub and go from there
5. (Original post by JamesN111)
You don't have to use substitution to integrate that. See what happens when you differentiate cos^4(x), it should be something very similar.
(Original post by AmarPatel98)
By substitution:

Let u = cosx. When you find dx you'll see why this is nice.

Alternatively, you don't need a substitution. Notice that sin is the differential of cos. Try raising the power of cos to 4 and see what you need to put in front and check it by differentiating your answer. (it'll produce a sin)
(Original post by Aph)
I would write and sub and go from there
Thank you!
6. (Original post by AmarPatel98)
By substitution:

Let u = cosx. When you find dx you'll see why this is nice.

Alternatively, you don't need a substitution. Notice that sin is the differential of cos. Try raising the power of cos to 4 and see what you need to put in front and check it by differentiating your answer. (it'll produce a sin)
Or use d1 flowcharts

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