$19\mathrm{.}4$ Lesson $19$ Problem Set

Find the antiderivative and use differentiation $to$ check your answer.

$(1){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(2x-3)dx$

$(2){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x^{\frac{1}{2}}-3x^{\frac{11}{17}}+x^{-2})dx$

$(3){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\sqrt[3]{t+1}dt$

$(4){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(2x-3cos2x)dx$

$(5)(Bonus$ question$)$ : The solution $to$ the find the antiderivative problem ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}f(x)dx$ turned

out $tobesinx-xcosx+C.$ What $isf(x)?$