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To calculate the area between a curve and the \(x\)-axis we must evaluate using definite integrals. First, we need to find out where the curve cuts the \(x\)-axis. Remember, a curve cuts the \(x ...

but the vertical portions, which are bisected by the axis of X, extend beyond the points where they meet the inclined portions, their total lengths being expressed by four times the definite integral.

This can solve differential equations and evaluate definite integrals. Applying differential calculus Optimisation is used to find the greatest/least value(s) a function can take. This can involve ...

then This is called the definite integral of ƒ over the range [a, b], where a and b are called the limits of integration, a being the lower limit and b the upper limit. A change in the variable ...