Question

a) Find the indefinite integral of the function

𝑦 = 3𝑡2 + 2𝑒3𝑡 + 2 + 2 cos 3𝑡

Answer 1

$$\int ydt=\int (3t^2+2e^{3t} +2+2\cos 3t)dt$$

$$=t^3+\dfrac{2}{3}e^{3t}+2t+\dfrac{2}{3}\sin 3t+C$$