The heat required, ΔH (cal), to induce a temperature change, ΔT (°C), of a material can be...

The heat required, ΔH (cal), to induce a temperature change, ΔT (°C), of a material can be computed as

where m = mass (g), and Cp(T) = heat capacity [cal/(g ·°C)]. The heat capacity increases with temperature, T (°C), according to

Write a script that uses the integral function to generate a plot of ΔH versus ΔT for cases where m = 1 kg, the starting temperature is −100 °C, and ΔT ranges from 0 to 300 °C.