Question

Evaluate $\int_{0}^{\infty}\frac{\log(1+x^2)}{x(1+x^2)}dx $, $\int_{0}^{1}\frac{\log(1+x^2)}{x(1+x^2)}dx $

score 312 · Answer 1 · 2026-04-07 12:54:44

312

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Evaluate $\int_{0}^{\infty}\frac{\log(1+x^2)}{x(1+x^2)}dx $, $\int_{0}^{1}\frac{\log(1+x^2)}{x(1+x^2)}dx $

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5.8k

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325

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286

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score 112 · Answer 7 · 2026-04-06 15:35:07

112

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487

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580

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score 120 · Answer 11 · 2026-03-22 00:48:24

120

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List Question

Evaluate $\int_{0}^{\infty}\frac{\log(1+x^2)}{x(1+x^2)}dx $, $\int_{0}^{1}\frac{\log(1+x^2)}{x(1+x^2)}dx $

Derivative of $n!$ (factorial)?

How to calculate this exponential integral?

Finding the missing values for a definite integral

How would I find the following derivative?

Integral of $\int_0^{\infty} \ln\left|\frac{x+A}{x+B}\right|\frac{x}{e^{C x}\pm 1}dx$

Find the sum of infinite series

How to solve the integral $I_n=\int_{0}^{1}x^n\sqrt{1-x}$?

Taylor Expansion to Solve Definite Integral within Specific Accuracy

The integral of an elliptic integral: $\int_{0}^{1}\frac{x\mathbf{K}^2\left ( x \right )}{\sqrt{1-x^{2}}}\mathrm{d}x$

Evaluating $\iint xy\,\mathrm{d}x\,\mathrm{d}y$ over an elliptical disk

Integral of $\operatorname{arcsinh}(\frac{x}{a})$, constant of integration

Properties of Integrals strict inequalities greater then 0

How to express a Riemann sum as a definite integral

Integral of sin(x)

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