1. Change the variables dt to ds = exp(-s/tau)ds
2. Integrate the inner functions: a*sinc(2*pi* exp(s/tau)T0/tau)*exp(-s/tau)ds over the limits T0 and T1
3. Rearrange the equation to: a*∫exp(-s/τ)*sinc(2π exp(s/τ)*T0/τ)ds
4. Perform integration:
a*[-τ/2 *sin(2 *π * exp(s/τ)*T0/tau) + C] 
5. Substitute limits of integration to get the value of C: 
C = τ/2 * [sin(2 *π * exp(T1/τ)*T0/τ) - sin(2 *π * exp(T0/τ)*T0/τ)]
6. Plug the value of C in the equation to get answer:
a * [-τ/2 * sin(2 *π * exp(s/τ) * T0/τ) + τ/2 * [sin(2 *π * exp(T1/τ)*T0/τ) - sin(2 *π * exp(T0/τ)*T0/τ)]]
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