Antiderivatives of Trig, Exponential and Log Functions Worksheet with Answer Key

What's on the worksheet

1. Find each indefinite integral.
2. Evaluate each integral exactly with the second fundamental theorem.
   \displaystyle\int_0^{\pi/4} 6\sin 2x\,dx\displaystyle\int_0^{1} 2^x\,dx\displaystyle\int_0^{\sqrt{3}/2} \dfrac{4}{\sqrt{1 - x^2}}\,dx\displaystyle\int_2^{6} \dfrac{x - 3}{x}\,dx
3. None of these integrands is a line of the table.
   \displaystyle\int \left(3 - \cot^2 x\right)dx\displaystyle\int \cos^2 \dfrac{x}{2}\,dx\displaystyle\int \dfrac{1 + \sin x}{\cos^2 x}\,dx\displaystyle\int \dfrac{4^x + 2^x}{2^x}\,dx
4. A function f on (-π2, π2) has $f'
5. The integrand 1x² + x^4 matches no line of the table as written.
6. Leah tracks the rain cistern behind her school's greenhouse.