Mathematical Methods Β· Unit 4 Β· Further integration Β· Fundamental theorem of calculus and definite integrals
Use sums of the form β π(π₯π) πΏπ₯ππ to estimate the area under the curve π¦ = π(π₯).
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Understand the fundamental theorem of calculus, β« π(π₯) π π ππ₯ = πΉ(π) β πΉ(π), and use it to calculate definite integrals.
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Use the definite integral β« π(π₯) π π ππ₯ to determine the area under the curve π¦ = π(π₯) between π₯ = π and π₯ = π if π(π₯) > 0 over this interval.