How do you solve for the limits of an integral?

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Louis McDermott
Louis McDermott 2021-1-28
评论： Louis McDermott 2021-1-28
Hi there
I am looking to solve the equation for PhetaS
W=b*r^(n+1)*(Kc/b+Kphi)*int((cos(Pheta)-cos(PhetaS))^n*cos(Pheta),Pheta,-PhetaS,PhetaS)
Where, W, b, r, n, Kc, Kphi are known values.
Below is the script I am using, however, I am having a lot of trouble:
clc; clear all; close all;
r=0.1;
b=0.15;
Kc=0.99*1000; Kphi=1528.4*1000; n=1.1; W=100;
syms Pheta PhetaS
f=W==(b*(Kc/b+Kphi)*r^(n+1))*int(((cos(Pheta)-cos(PhetaS))^n)*cos(Pheta),Pheta,-PhetaS,PhetaS)
solve(f,PhetaS)

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采纳的回答

Walter Roberson
Walter Roberson 2021-1-28
Ran in:
r=0.1;
b=0.15;
Kc=0.99*1000; Kphi=1528.4*1000; n=1.1; W=100;
syms Pheta PhetaS
f=W==(b*(Kc/b+Kphi)*r^(n+1))*vpaintegral(((cos(Pheta)-cos(PhetaS))^n)*cos(Pheta),Pheta,-PhetaS,PhetaS)
f = 
vpasolve(f,PhetaS, .1)
ans = 
0.47873864697966172105256369269319

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