class 12 maths integrals

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

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📘 Integrals NCERT,ex.7.1,Q.17,Page 299 SA

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

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

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

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

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