Explicit integral could not be found
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I try to evaluate following integral of:
syms a b x
>> f=1/(a - b*sin(x))
f =
1/(a - b*sin(x))
>> assume(0 < a)
>> assume(0 < b)
>> assume(b < a)
>> int(f, x,0,2*pi)
Warning: Explicit integral could not be found.
ans =
int(1/(a - b*sin(x)), x == 0..2*pi)
And i am getting a error but Mathematica solved this integral!!!!!!!!!!!!
回答（1 个）
John BG
2016-4-2
try solving with a and be defined in advance:
syms x
f=1/(2-3*sin(x))
f =
-1/(3*sin(x) - 2)
int(f,0,2*pi)
ans =
(2*5^(1/2)*limit(atanh((3*5^(1/2))/5 - (2*5^(1/2)*tan(x/2))/5), x, 2*atan(5^(1/2)/2 + 3/2), 'Left'))/5 - Inf
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2016-4-2
2016-4-4
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