integre 1/(x^2+1)
Let's integrate: <math><mo>∫(</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo> + </mo><mn>1</mn></mrow></mfrac><mo>)dx</mo></math> <math><mi>atan</mi><mo>(</mo><mi>x</mi><mo>)</mo></math> Indefinite integrals are defined up to an additive constant <m>C</m>, so this yields: <math><mi>atan</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo> + </mo><mi>C</mi></math> ▷<b>Answer: <math><mi>atan</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo> + </mo><mi>C</mi></math></b><span style='font-size:smaller'>, with <m>C</m> being any constant (computation required 3 steps and 1 ms)</span>
