Opened 6 years ago

Last modified 18 months ago

## #18821 new defect

# integral with sqrt(cos)*sin unsolved

Reported by: | rws | Owned by: | |
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Priority: | major | Milestone: | sage-6.8 |

Component: | calculus | Keywords: | Maxima, integrate |

Cc: | Merged in: | ||

Authors: | Reviewers: | ||

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

F = lambda z: (2/pi)*integral((4*cos(x)^2-1)^z*sin(x)^2,x,0,pi) print F(1/2) ... RuntimeError: ECL says: Error executing code in Maxima: sage: a=numerical_integral(real(2/pi*(4*cos(x)^2-1)^(.5)*sin(x)^2),0,pi) sage: b=numerical_integral(imag(2/pi*(4*cos(x)^2-1)^(.5)*sin(x)^2),0,pi) sage: a[0]+b[0]*i 0.483843757993525*i + 0.3697166887548152

http://ask.sagemath.org/question/27235/problem-with-integral/

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Works in sage 8.9.b7:

But symbolic integration F(1/2) get stuck inside Sympy.