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Having problems with integration equations.

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Thomas
Thomas 2023-12-10
回答： Sulaymon Eshkabilov 2023-12-10
syms t
v_1 = 90/(1+0.3*t);
d_1 = int(v_1,t);
a_1 = diff(v_1,t);
pretty(d_1)
pretty(v_1)
pretty(a_1)
In this code the d_1 value is incorrect
d_2 = 300*log(1+0.3*t);
v_2 = diff(d_2,t);
a_2 = diff(v_2,t);
pretty(d_2)
pretty(v_2)
pretty(a_2)
syms t
The above code uses the correct integral of 'v_1' (verified by hand) and differentiates accordingly with both the 'v' and 'a' equations being the same across both segments of code

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回答（1 个）

Sulaymon Eshkabilov
Sulaymon Eshkabilov 2023-12-10
Ran in:
Hi Thomas,
Actually, all calcs are correct - see:
syms t
v_1 = 90/(1+0.3*t);
d_1 = int(v_1,t)
d_1 = 
% Here d_1 is verified
Ver = diff(d_1, t)
Ver = 
Verified = (300*(3/10))/((3/10)*(t+10/3)) % Numerator and Denominator is multiplied by (3/10)
Verified = 
v_1 % Compare with the given
v_1 = 
[Verified v_1]
ans = 

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