Calculus Examples

Evaluate the Integral integral of e^x*cos(x) with respect to x
Step 1
Reorder and .
Step 2
Integrate by parts using the formula , where and .
Step 3
Since is constant with respect to , move out of the integral.
Step 4
Simplify the expression.
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Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 4.3
Reorder and .
Step 5
Integrate by parts using the formula , where and .
Step 6
Solving for , we find that = .
Step 7
Rewrite as .