Edexcel IALMathematicsGeneral Applications4 Marks
Find ∫ ( 2x³ - 3 + 4/√x ) dx, giving each term in its simplest form.
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- M1 for raising the power of at least one term by 1 (e.g., x^3 -> x^4 or x^(-1/2) -> x^(1/2)).
- A1 for 2x^4/4 or -3x or 4x^(1/2)/(1/2) (or simplified form for any one term).
- A1 for all terms correctly integrated, but possibly unsimplified (e.g., x^4/2 - 3x + 8x^(1/2)).
- B1 for +C. (This mark is independent of other integration marks).
- A1 for x⁴/2 - 3x + 8√x + C (all terms correct and simplified).
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