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  • Find the following integrals integration of 2 x ^2 - 3 sin x

 Q17   Find the following integrals  \int ( 2 x ^2 - 3 \sin x + 5 \sqrt x ) dx

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Given integral \int ( 2 x ^2 - 3 \sin x + 5 \sqrt x ) dx;

2\int x^2\ dx -3\int \sin x\ dx + 5\int \sqrt {x}\ dx  

= 2 \frac{x^3}{3} - 3(-\cos x ) +5\left ( \frac{x^{\frac{3}{2}}}{\frac{3}{2}} \right ) +C

= \frac{2x^3}{3} +3\cos x +\frac{10}{3} x^{\frac{3}{2}}+C , where C is any constant value.

Posted by

Divya Prakash Singh

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