: Let I = x dx Put x = t 2 x dx = dt I = 2 = 2 t + C = 2 x + C

Integrals — Class 12 Maths Solution

ncert exercise SA NCERT,ex.7.2,Q.26,Page 305

Question

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

Step-by-step Solution

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

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Integrals. Curated by Sachin Sharma. Free for all students.