Question

How do I integrate this?

Answer 1

\[\LARGE \frac{t^4}{1-t^2}\]

Answer 2

im in the middle of a question,dunno what to do next,t is a substitution assumption of mine.

Answer 3

Try long division? :P

Answer 4

any better method ? :/

Answer 5

You can be sneaky and try adding one and subtracting one from the numerator like this:

Answer 6

\[\int\limits_{}^{}\frac{ t ^{4}-1+1 }{ 1-t ^{2} }dt= -\int\limits_{}^{}\frac{ (t ^{2}+1)(t ^{2}-1) }{t ^{2}-1 }+\int\limits_{}^{}\frac{ 1 }{ 1-t ^{2} }\]

Answer 7

should work :P

Answer 8

It's a little trick that can allow you to separate something into multiple fractions or maybe even force things to factor and cancel :3

Answer 9

yeah ive seen it before :D

Answer 10

\[\Huge \int\limits_{}^{} \frac{\cos(x+a)}{\sin(x+b)}\]
just the last one if you can help me with? :( just pass on a hint

Answer 11

Trig identities

Answer 12

if i open them i get nothing good

Answer 13

Tried the identities?

Answer 14

yup

Answer 15

subs will work here

Answer 16

:O

Answer 17

u = sin(a+x)

du = cos(a+x)dx

Answer 18

how is that gonna help??
its B not A

Answer 19

Oops...:

Answer 20

@Psymon ??

Answer 21

Yeah, looking at it.

Answer 22

Yeah, not perfectly sure how to separate those variables.

Answer 23

hmm..

Answer 24

Not sure what substitutions would work. We know a and b are numbers at least, but not sure :/