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  • Find the following integrals integration of 2x -3 cos x + e ^ x

 Q16  Find the following integrals  \int ( 2x - 3 \cos x + e ^x ) dx

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Given integral \int ( 2x - 3 \cos x + e ^x ) dx;

splitting the integral as the sum of three integrals

\int 2x\ dx -3 \int \cos x\ dx +\int e^{x}\ dx  

= 2 \frac{x^2}{2} - 3 \sin x + e^x+C

= x^2 - 3 \sin x + e^x+C , where C is any constant value.

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Divya Prakash Singh

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