A-level Maths · Integration

Indefinite integrals

Integrate m(ax + b)^n or m e^(kx) by reversing the chain rule. Give the answer with + c.

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Question 1

Find ∫8e3x dx\int 8e^{3x}\,dx. Give your answer as an expression in x.

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Powers: x^2 or x². Fractions: (x+1)/2, with brackets round the top and the bottom. Functions: sin(2x), ln(x), e^(2x). Times: 2x or 2*x. You can finish with + c.

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