Question

一个不定积分,∫(a² + x²)^1/2 dx 我记得积出来是 1/2 a² ln |

Answer 1

经过MATLAB验证计算（MATLAB计算结果不带常数C）,楼主的答案是对的,放心吧.

>> syms a x;int((a^2+x^2)^(1/2),x)

ans =

(x*(a^2 + x^2)^(1/2))/2 + (a^2*log(x + (a^2 + x^2)^(1/2)))/2

>> pretty(ans)

2 2 1/2 2 2 2 1/2

x (a + x ) a log(x + (a + x ) )

-------------- + ------------------------

2 2