Find the ∫(9ex+sinx)dx
Solution
To solve the integral ∫(9e^x + sinx) dx, we can separate it into two integrals:
∫9e^x dx + ∫sinx dx
The integral of 9e^x dx is 9e^x + C1, where C1 is the constant of integration.
The integral of sinx dx is -cosx + C2, where C2 is the constant of integration.
So, the solution to the integral ∫(9e^x + sinx) dx is 9e^x - cosx + C, where C is the constant of integration (C1 + C2).
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