Integration Problems

Epic Tissue

So maths exam soon, doing integration atm



For the first one, I'm not to sure how to do it. Suggestions?

Thomas_S_Hunterson

Any chance of a bit of context?:D

I presume you mean in the leaving cert do you?

Epic Tissue

Nope.. college.. there is a picture attached

edited: or there was meant to be

Fremen

I reckon Thomas' calculus is your friend here

Michael Collins

The first one is just a substitution type integral. Let u = something, then find du = (something) dx. Choosing u in such a way that when you change the variable of integration to du it causes a cancellation with something in your integrad.

cunnins4

Yup, Thomas Calculus is your best bet, or even better still Schaum's Calculus-Most colleges should have this book. Saved my asse in first year more than once. It has thousands of worked examples.

The first ones are just integration by parts. Fairly straight forward, you should find numerous examples of these. They're on the LC higher maths course too. Partial Fractions are in Calculus too afaik. Look at example 1 in here-should explain it.

Give your questions above a shot, post up your answers and someone'll give you a bit of guidance.

Epic Tissue

(i) -cos(√θ)
(ii) [ln(x+1)^3] / 3
(iii) 4x(x - (1/4)sin4x] - (x^2)/2 + (cos4x)/4

edit: (b) (1/4)ln(x-1) + (3/16)ln(x+1)

For the fourth one (iv), I let u = 1 - x^4

then x would be (1 - u)^1/4 right?

zega

Wrong!

JC 2K3

Epic Tissue, I've a good idea who you are, why post here and not on your course's forum?

Pherekydes

JC 2K3 wrote: »

Epic Tissue, I've a good idea who you are, why post here and not on your course's forum?

Why not? It's a Maths forum, for any type of Mathematical discussion.

cunnins4

zega wrote: »

Wrong!

Jesus that was helpful. Well done.:mad:


I think the first is right and the first shot ya took at the second one appears to be right. I'm in the middle of a load've study myself, so I didn't put a lot of effort into them i'm afraid. Someone else might be able to help you more.

TX123

ooops