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(03]: 1 x = symbols ('x' ) 2 f = (math. e**3*x) /((math. e ** 2*x) + (4*math. e* *x) - 5) 3 integrate(f,x) X
(03]: 1 x = symbols ('x' ) 2 f = (math. e**3*x) /((math. e ** 2*x) + (4*math. e* *x) - 5) 3 integrate(f,x) X dx 03]: 2.71828182845905 0.541341132946451 . 2.71828182845905* + 1.0x - 0.676676416183064Given f(@)= 2 + de - 5 dr: at Make the substitution u = et to convert f(x)de into an integral in u (HINT: The easiest way to do this in Python is to substitute into f(I) W(x) (b) Your result from part (a) should be a rational function in u. Find the partial fraction decomposition (directly in Python) and use it to integrate the function. (Remember to substitute & back in when done!) Evaluate f(x)dr directly
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