: Let I = - 3 x + 5 x )dx = 3 - 3 ( - x ) + 3/2 + C = 3 x 3 + 3 x + 3 x 3/2 + C

Integrals — Class 12 Maths Solution

ncert exercise SA NCERT,ex.7.1,Q.17,Page 299

Question

$\int {\left( {2{x^2} - 3\sin x + 5\sqrt x } \right)dx}$

Step-by-step Solution

: Let $I = \int {\left( {2{x^2} - 3\sin x + 5\sqrt x } \right)dx}$

$= \cfrac{{2{x^3}}}{3} - 3\left( { - \cos x} \right) + \cfrac{{5{x^{3/2}}}}{{3/2}} + C = \cfrac{2}{3}{x^3} + 3\cos x + \cfrac{{10}}{3}{x^{3/2}} + C$

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