Definite Integration

Ques) Find / Evaluate

2 Answers

62
Lokesh Verma ·

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 :)

11
Tush Watts ·

Thanx a lot sir

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