Integrate y=x*sin(a*​x^4).*exp(​x^2./2)

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Mudeebe Edison
Mudeebe Edison 2019 年 10 月 13 日
How can I integrate this function it gives me the same integrate as the answer integrating from [1 to 5] y=x*sin(a*x^4).*exp(x^2./2)
  1 件のコメント
darova
darova 2019 年 10 月 13 日
What have your tried? Any ideas?

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採用された回答

Thiago Henrique Gomes Lobato
Thiago Henrique Gomes Lobato 2019 年 10 月 13 日
編集済み: Thiago Henrique Gomes Lobato 2019 年 10 月 13 日
Matlab can't find the close integral form for all functions (some may even not have one). If you are interested only in the value of the definite integral, you can evaluate it both with the symbolic toolbox with a given precision or numerically by specifiying a value for a:
a = 2; % Specify a Value
% Symbolic
syms y x
y=x*sin(a*x^4).*exp(x^2./2);
ySymbolic = vpa(int(y,x,[1 5]),8)
% Numeric
f = @(t)t.*sin(a*t.^4).*exp(t.^2./2);
yNumeric = integral(f,1,5)
Difference = ySymbolic-yNumeric
yNumeric =
-1.2607e+03
ySymbolic =
-1260.7316
Difference =
0.00000000009231371222995221614837646484375

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