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

Integrals — Class 12 Maths Solution

ncert exercise SA NCERT,ex.7.1,Q.14,Page 299

Question

. $\int {\left( {1 - x} \right)\sqrt x dx}$

Step-by-step Solution

: Let $I = \int {\left( {1 - x} \right)\sqrt x dx} = \int {\left( {{x^{1/2}} - {x^{3/2}}} \right)} dx$

$= \cfrac{{{x^{3/2}}}}{{3/2}} - \cfrac{{{x^{5/2}}}}{{5/2}} + C = \cfrac{2}{3}{x^{3/2}} - \cfrac{2}{5}{x^{5/2}} + C$

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