86765 \(\int_{-100}^{100} f(x) d x\) is equal to

86780 Given that \(\int_{0}^{\infty} \frac{\mathbf{x}^{2}}{\left(\mathbf{x}^{2}+\mathbf{a}^{2}\right)\left(\mathrm{x}^{2}+\mathbf{b}^{2}\right)\left(\mathrm{x}^{2}+\mathbf{c}^{2}\right)}\)
\(=\frac{\pi}{2(a+b)(b+c)(c+a)}, \text { then } \int_{0}^{\infty} \frac{d x}{\left(x^{2}+4\right)\left(x^{2}+9\right)} \text { is }\)

86781 \(\int_{1}^{\sqrt{3}} \frac{\mathrm{dx}}{1+\mathrm{x}^{2}}\) equals

86765 \(\int_{-100}^{100} f(x) d x\) is equal to

86780 Given that \(\int_{0}^{\infty} \frac{\mathbf{x}^{2}}{\left(\mathbf{x}^{2}+\mathbf{a}^{2}\right)\left(\mathrm{x}^{2}+\mathbf{b}^{2}\right)\left(\mathrm{x}^{2}+\mathbf{c}^{2}\right)}\)
\(=\frac{\pi}{2(a+b)(b+c)(c+a)}, \text { then } \int_{0}^{\infty} \frac{d x}{\left(x^{2}+4\right)\left(x^{2}+9\right)} \text { is }\)

86781 \(\int_{1}^{\sqrt{3}} \frac{\mathrm{dx}}{1+\mathrm{x}^{2}}\) equals

86765 \(\int_{-100}^{100} f(x) d x\) is equal to

86780 Given that \(\int_{0}^{\infty} \frac{\mathbf{x}^{2}}{\left(\mathbf{x}^{2}+\mathbf{a}^{2}\right)\left(\mathrm{x}^{2}+\mathbf{b}^{2}\right)\left(\mathrm{x}^{2}+\mathbf{c}^{2}\right)}\)
\(=\frac{\pi}{2(a+b)(b+c)(c+a)}, \text { then } \int_{0}^{\infty} \frac{d x}{\left(x^{2}+4\right)\left(x^{2}+9\right)} \text { is }\)

86781 \(\int_{1}^{\sqrt{3}} \frac{\mathrm{dx}}{1+\mathrm{x}^{2}}\) equals