\int \frac{1}{5}sint\:cos2t\:dt
You asked:
Evaluate the integral: \(\int{\frac{1}{5} \cdot \sin\left( t \right) \cdot \cos\left( 2 t \right)}dt\)
MathBot Answer:
Antiderivative
\[\int{\frac{1}{5} \cdot \sin\left( t \right) \cdot \cos\left( 2 t \right)}dt = \frac{\cos{\left(2 t \right)} \cos{\left(t \right)}}{15} + \frac{2 \sin{\left(2 t \right)} \sin{\left(t \right)}}{15} + C\]