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Question

Mathematics Question on integral

Find the following integral: (2x3cosx+ex)dx\int (2x-3\cos x +e^x)dx

Answer

(2x3cosx+ex)dx\int (2x-3\cos x +e^x)dx

= 2xdx3cosxdx+exdx2 \int xdx -3 \cos xdx+ \int e^xdx

=2x223(sinx)+ex+C\frac{2x^2}{2}-3(\sin x)+e^x+C

= x23sinx+ex+Cx^2-3\sin x+e^x+C