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Question

Write the value of ex(sinx+cosx)dx.

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Solution

The integral ex(sinx+cosx)dx is of the form ex(f(x)+f(x))dx, where f(x)=sinx and f(x)=cosx
We know that ex(f(x)+f(x))dx=exf(x)+c, where c is a constant of integration.
ex(sinx+cosx)dx=exsinx+c.

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