Having problems with integration equations.

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

Answer 1

[Sulaymon Eshkabilov]

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 =