1.7 Integration

Find $dx\int \left( 12x^2 - \dfrac{5}{x\sqrt{x}} \right) \, dx$

[3]

The rate of change of the mass, $M$ grams, of a chemical precipitate over time $t$ minutes is modelled by the differential equation

\dfrac{dM}{dt} = 12t^2 - \dfrac{5}{t\sqrt{t}}, \quad t > 0

Given that at $t = 4$ , the mass of the precipitate is 265 grams, determine an expression for $M$ in terms of $t$ .

[3]

1.7 Integration Questions

Find $dx\int \left( 12x^2 - \dfrac{5}{x\sqrt{x}} \right) \, dx$

[3]

The rate of change of the mass, $M$ grams, of a chemical precipitate over time $t$ minutes is modelled by the differential equation

\dfrac{dM}{dt} = 12t^2 - \dfrac{5}{t\sqrt{t}}, \quad t > 0

Given that at $t = 4$ , the mass of the precipitate is 265 grams, determine an expression for $M$ in terms of $t$ .

[3]