Edexcel IALMathematicsGeneral Applications8 Marks
Find ∫ x² e³ˣ dx.
- (a)Find ∫ x² e³ˣ dx.[6]
- (b)Hence find the exact value of ∫₀¹ x² e³ˣ dx.[2]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- (a) M1: for choosing u=x² and dv/dx = e³ˣ and attempting integration by parts.
- (a) M1: for second application of integration by parts.
- (a) A1: for correct integration.
- (a) A1: for second application of integration by parts fully correct
- (a) A1: for third term correctly integrated
- (a) A1: for correct final answer with +c
- (b) M1: for substituting limits into their answer from (a).
- (b) A1: for correct exact value.
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