# A. Given that y = e 2x + 1 complete the table of values of y corresponding

## Question:

A. Given that y = e^{√2x + 1} complete the table of values of y corresponding to x = 0.5, 1 and 1.5.B. Use the trapezium rule, with all the values of y in the completed table, to obtain an estimate for the original integral, I, giving your answer to 4 significant figures.

C. Use the substitution t = √2X + 1 to show that I may be expressed as ∫^{a}_{b} kt e^{t} dt, giving the values of the constants a, b and k.

D. Use integration by parts to evaluate this integral, and hence find the value of I correct to 4 significant figures.

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**Related Book For**

## Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

**ISBN:** 9781292183404

1st Edition

**Authors:** Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran