It is known that

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

It is known that ∫e2xsin⁡(3x) dx=e2x(2sin⁡(3x)−3cos⁡(3x))13+C\displaystyle\int e^{2x}\sin(3x)\,dx=\dfrac{e^{2x}\bigl(2\sin(3x)-3\cos(3x)\bigr)}{13}+C. Using this information, determine ∫e2xcos⁡(3x) dx\displaystyle\int e^{2x}\cos(3x)\,dx and include the constant of integration.

Related theory

Browse the problem library