\int \:e^x\cos \left(x\right)dx
You asked:
Evaluate the integral: \(\int{{e}^{x} \cdot \cos\left( x \right)}dx\)
MathBot Answer:
Antiderivative
\[\int{{e}^{x} \cdot \cos\left( x \right)}dx = \frac{\cos{\left(x \right)} e^{x}}{2} + \frac{e^{x} \sin{\left(x \right)}}{2} + C\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).