Thread: just hints in integrals

• Im in the middle of solving an integration and just need to know what is

16 cos^2 x in terms of sec^2 x

• what is the integral of cosx/sin^2 x
• integral of x^2/(x^2 +1)

thank you
appreciate any help

1.

2. You can try , or maybe it would be more clear if you see it as .

3. Simply add 0 using 1. This is a basically a quick way around long division:

Thank you for replying.
the problem is
1- the integral is (sec^2 x +8secx cosx +16cos^x dx) so i was trying to find the relation or form of 16cos^2x in terms of the sec^2 x)

2-the integral of this question was (1/(sin^2x) - cosx/sin^2x )

3- i got the same result: integral 1+ 1/(x^2+1)
so im looking for the integral of 1/(x^+1)

THANK YOU AGAIN

Originally Posted by alex83

Thank you for replying.
the problem is
1- the integral is (sec^2 x +8secx cosx +16cos^x dx) so i was trying to find the relation or form of 16cos^2x in terms of the sec^2 x)

2-the integral of this question was (1/(sin^2x) - cosx/sin^2x )

3- i got the same result: integral 1+ 1/(x^2+1)
so im looking for the integral of 1/(x^+1)

THANK YOU AGAIN

Maths is not a spectator sport. Review the methods you have been taught. What have you tried? Where do you get stuck? You should realise that is a standard form.