class 12 maths integrals

$\cfrac{{\cos \sqrt x }}{{\sqrt x }}$

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📘 Integrals NCERT,ex.7.2,Q.26,Page 305 SA

$\cfrac{{\cos \sqrt x }}{{\sqrt x }}$

Official Solution

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: Let $I = \int {\cfrac{{\cos \sqrt x }}{{\sqrt x }}} dx$
Put $\sqrt x = t$ $\Rightarrow$ $\cfrac{1}{{2\sqrt x }}dx = dt$

$\therefore$ $I = 2\int {\cos tdt} = 2\sin t + C = 2\sin \sqrt x + C$

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