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P.o.t.W. #26

■ No GDC ■ for HL students (a) (i) Show that \(\displaystyle\int_0^a {{x^2}{\textrm{d}}x} = \frac{1}{3}{a^3} (ii) Find \(\displaystyle\frac{{\textrm{d}}}{{{\textrm{d}}a}}\left( {\frac{1}{3}{a^3}} \right) (b) (i) Show that \(\displaystyle\int_0^a {\cos \left( x \right)\,{\textrm{d}}x} = \sin \left( a \right) (ii) Find \(\dfrac{{\textrm{d}}}{{{\textrm{d}}a}}\left( {\sin \left( a \right)} \right) (c) (i) Show that...

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