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Question

Mathematics Question on integral

Find the following integral: (2x2+ex)dx\int (2x^2+e^x)dx

Answer

(2x2+ex)dx\int (2x^2+e^x)dx

= 2x2dx+exdx2 \int x^2dx+ \int e^x dx

=2(x33)+ex+C2\bigg(\frac{x^3}{3}\bigg)+e^x+C

= 23x3+ex+C\frac{2}{3}x^3+e^x+C