\int \frac{1}{5}sint\:cos2t\:dt

asked by guest
on Nov 24, 2024 at 7:03 am



You asked:

Evaluate the integral: \(\int{\frac{1}{5} \cdot \sin\left( t \right) \cdot \cos\left( 2 t \right)}dt\)

MathBot Answer:

Antiderivative

\[\int{\frac{1}{5} \cdot \sin\left( t \right) \cdot \cos\left( 2 t \right)}dt = \frac{\cos{\left(2 t \right)} \cos{\left(t \right)}}{15} + \frac{2 \sin{\left(2 t \right)} \sin{\left(t \right)}}{15} + C\]