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NCERT Class XII Mathematics Chapter - - Solutions

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Find the following integrals in Exercises 6 to 20.
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Question : 16 of 271
Marks: +1, -0
∫(2x−3cos⁡x+ex)dx\int (2x-3\cos x+e^x)dx
Solution:  
Let I=∫(2x−3cos⁡x+ex)dxI=\int (2x-3\cos x+e^x)dx
=2(x22)−3sin⁡x+ex+C=2\left(\frac{x^2}{2}\right)-3\sin x+e^x+C
=x2−3sin⁡x+ex+C=x^2-3\sin x+e^x+C
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