Mathematical Methods Β· Unit 4 Β· Further integration Β· Fundamental theorem of calculus and definite integrals

Use the definite integral ∫ 𝑓(π‘₯) 𝑏 π‘Ž 𝑑π‘₯ to determine the area under the curve 𝑦 = 𝑓(π‘₯) between π‘₯ = π‘Ž and π‘₯ = 𝑏 if 𝑓(π‘₯) > 0 over this interval.

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Use sums of the form βˆ‘ 𝑓(π‘₯𝑖) 𝛿π‘₯𝑖𝑖 to estimate the area under the curve 𝑦 = 𝑓(π‘₯).
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