Course home

1.7 Integration

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95

Question 53

Determine $dt\int \left( 10t^4 - \frac{6}{\sqrt[3]{t}} \right) \, dt$ .

[3]

The rate of change of the mass, $M$ grams, of a synthetic crystal with respect to time, $t$ hours, is modeled by the differential equation

\frac{dM}{dt} = 10t^4 - \frac{6}{\sqrt[3]{t}}, \quad t > 0

After 8 hours of growth, the mass of the crystal is measured to be 65520 grams.

Find an expression for $M$ in terms of $t$ .

[3]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.7 Integration

Question bank

1.7 Integration

Easy Medium Hard

Question 53

Determine $dt\int \left( 10t^4 - \frac{6}{\sqrt[3]{t}} \right) \, dt$ .

[3]

The rate of change of the mass, $M$ grams, of a synthetic crystal with respect to time, $t$ hours, is modeled by the differential equation

\frac{dM}{dt} = 10t^4 - \frac{6}{\sqrt[3]{t}}, \quad t > 0

After 8 hours of growth, the mass of the crystal is measured to be 65520 grams.

Find an expression for $M$ in terms of $t$ .

[3]

Markscheme

1.7 Integration Questions

A Level
Maths
1.7 Integration