Sorry I will correct this into new post
By substiution:
1. u = x^{2}-5
2. du = 2x dx
3. \frac{du}{2x}= dx
4. \int u^{2}x \frac{du}{2x}
5. \int u^{2} \frac{1}{2} du
6. \frac{1}{3} u^{3} \frac{1}{2} + C
7. \frac{1}{6} u^{3} +C
8. \frac{1}{6} (x^{2}-5)^{3} +C
9. \frac{1}{6} [x^{6} -...
Aha yes my fault but this doesn't explain why i get 125 value from the first method
since unfactorise (x^{2} - 5)^{3} = x^{6} - 15x^{4} + 75x^{2} - 125
Hello, I am new. I been looking on the net for a guide how to solve the CDF by hand, i know the answer and I am about to crack this baby but I got stuck...
Im trying to calculate Cumulative distribution function by hand:
\int^{1}_{-1}\frac{1}{2\pi} e^{\frac{-z^{2}}{2}} dz or wolfram alpha...