Let I = dx = 2 + 2 ) 2 dx = 2 + 2 ) dx = - 2 2 + 2 2 + C = - 2 2 + 2 2 + C

Integrals — Class 12 Maths Solution

exemplar sa SA NCERT Exemp. Q. 9,Page 164

Question

$\int {\sqrt {1 + \sin x} } dx$

Step-by-step Solution

} Let $I = \int {\sqrt {1 + \sin x} } dx$

$= \int {\sqrt {{{\left( {\sin \frac{x}{2} + \cos \frac{x}{2}} \right)}^2}} } dx = \int {\left( {\sin \frac{x}{2} + \cos \frac{x}{2}} \right)} dx$

$= - \cos \frac{x}{2} \cdot 2 + \sin \frac{x}{2} \cdot 2 + C = - 2\cos \frac{x}{2} + 2\sin \frac{x}{2} + C$

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