Make substitutions along the lines of:
Hi All,
Can any one help me solve the following integration. I tried many times but I always get exactly the same thing I started with. It's like I = I. It would be very helpful if any one can shed some light on it.
cos(i*acos(x)) sin(j*acos(ax+b)) / sqrt(1-x^2)
i, j, a, b are constants. I tried integration by parts, with 'cos(i*acos(x)) / sqrt(1-x^2)' in one part and 'sin(j*acos(ax+b))' in another part. But I cannot solve it.
Thanks,
~Reaz
And assuming , , where is The Chebyshev polynomials of the first kind.
Hi,
Thanks for coming up.
I know . But I don't know why . And I actually replaced the Chebyshev's polynomial with it's equivalent so that I can integrate the product. Following is what I tried-
Now,
From the two equations of I and I2 we get I = I.
Thanks for your time.