Thinking about a kind of heavy integral

04252019, 01:22 PM
(This post was last modified: 04252019 01:30 PM by yangyongkang.)
Post: #1




Thinking about a kind of heavy integral
Definite integral and indefinite integral can be said to be the core of calculus.I found that there is a kind of trigonometric integral, and XCAS can't do anything about it.
I will give the general form of it first. Code: int((a*sin(x)+b*cos(x))/(c+d*sin(2*x)+f*cos(2*x)), x) Maple gives a general answer in the picture, and it can be seen that it is essentially necessary to solve a quadratic equation. This type of indefinite integral can spawn many similar problems. Code: int(sin(x)/(2+sin(x)*cos(x)), x) Answer from Wolfram Alpha Code: int(cos(x)/(2sin(x)*cos(x)),x) Code: int((2sin(x)+3*cos(x))/(1+sin(x)*cos(x)),x) Code: int((sin(x)+cos(x))/(1sin(x)*cos(x)),x) study hard, improve every day 

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Thinking about a kind of heavy integral  yangyongkang  04252019 01:22 PM
RE: Thinking about a kind of heavy integral  parisse  04272019, 06:18 AM

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