Strange error in integration

asked 2021-05-04 13:55:38 +0200

roganov
33 ●2 ●4


[roganov@aorus bin]$ ./sage
┌────────────────────────────────────────────────────────────────────┐
│ SageMath version 9.2, Release Date: 2020-10-24                     │
│ Using Python 3.8.5. Type "help()" for help.                        │
└────────────────────────────────────────────────────────────────────┘
sage: var('x')                                                                  
x
sage: h = cos(1/2*x)*sqrt(4-x^2)                                                
sage: integrate(h,x)                                                            
integrate(sqrt(-(x + 2)*(x - 2))*cos(1/2*x), x)
sage: integrate(h+x,x)                                                          
1/2*x^2
sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x)                                     
1/2*x^2

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sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='fricas') integral(sqrt(-x^2 + 4)*cos(1/2*x) + x, x) sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='maxima') 1/2*x^2 sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='giac') integrate(sqrt(-x^2 + 4)*cos(1/2*x) + x, x) sage: integrate(cos(1/2*x)*sqrt(4-x^2)+x,x, algorithm='sympy') integrate(sqrt(-x^2 + 4)*cos(1/2*x) + x, x)

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