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Calculus of Trigonometry & Logarithms

Food for thought

Inverse integrals
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Problem

graph of e to the x with area between the points x = l n 2 and x = l n 3 on the curve and y axis shaded
graph of l n x with area between the points x = 2 and x =3 on the curve and x axis shaded

Use the diagrams to help you find \(\displaystyle{\int_2^3 \ln x \, dx}\).


Use a similar method to find \(\displaystyle{\int_{\frac{1}{2}}^{\frac{\sqrt3}{2}} \arcsin x \, dx}\).

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Last updated 04-Oct-16

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