The value of ∫_-100^100 ((x+x^3+x^5 ))/((1+x^2+x^4+x^6 )) d x is

Correct answer: (C) 0. ∫_-100^100 (odd function)/(Even function)=∫_-100^100 odd function =0

Q109 / 155 · WBJEE 2025 · Mathematics

The value of $\int_{-100}^{100} \frac{\left(x+x^3+x^5\right)}{\left(1+x^2+x^4+x^6\right)} d x$ is

$\int_{-100}^{100} \frac{\text { odd function }}{\text { Even function }}=\int_{-100}^{100}$ odd function $=0$

Hence, the correct answer is option: 'C'.