2 Answers
Lokesh Verma
·2009-09-27 01:27:47
remove the odd function part to get
\\\int_{-\sqrt{2}}^{\sqrt{2}}{\frac{3x^6-12x^2+1}{x^2+1}}dx \\=\int_{-\sqrt{2}}^{\sqrt{2}}{\frac{(3x^6+3x^4)-(3x^4+3x^2)-(9x^2+9)+10}{x^2+1}}dx \\=\int_{-\sqrt{2}}^{\sqrt{2}}3x^4-3x^2-9+{\frac{10}{x^2+1}}dx
Now this is easy :)