Skip to content

Course home

1.8 Integration

1.8 Integration

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342
Question 182
i.

Find

∫24(2x+5)2 dx \int \frac{24}{(2x + 5)^2} \, dx ∫(2x+5)224​dx

giving your answer in simplest form.

[2]
ii a.

Write 5x+3x+4\frac{5x + 3}{x + 4}x+45x+3​ in the form

A+Bx+4 where A and B are constants to be found A + \frac{B}{x + 4} \text{ where } A \text{ and } B \text{ are constants to be found} A+x+4B​ where A and B are constants to be found
[2]
ii b.

Hence find, using algebraic integration, the exact value of

∫−9−55x+3x+4 dx \int_{-9}^{-5} \frac{5x + 3}{x + 4} \, dx ∫−9−5​x+45x+3​dx

giving your answer in simplest form.

[3]
Markscheme

1.8 Integration Questions

  1. A Level
  2. /Maths
  3. /1.8 Integration

438 exam-style questions on OCR A Level Maths 1.8 Integration, covering 1.8.1 Fundamental theorem of calculus (A-level only), 1.8.2 Integrating x^n, 1.8.3 Integrating standard functions (A-level only), 1.8.4 Evaluating definite integrals, 1.8.5 Area between a curve and the x-axis, 1.8.6 Area between two curves, 1.8.7 Integration as the limit of a sum (A-level only), 1.8.8 Integration by substitution (A-level only), 1.8.9 Integration by parts (A-level only), 1.8.10 Use of partial fractions in integration (A-level only), 1.8.11 Differential equations with separable variables (A-level only), 1.8.12 Interpreting the solution of a differential equation (A-level only), and 1.8 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank