Skip to main content\(\newcommand{\dollar}{\$}
\DeclareMathOperator{\erf}{erf}
\DeclareMathOperator{\arctanh}{arctanh}
\DeclareMathOperator{\arcsec}{arcsec}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Activity 5.3.2.
Evaluate each of the following indefinite integrals. Check each antiderivative that you find by differentiating.
(a)
\(\int \sin(8-3x) \, dx\)
(b)
\(\int \sec^2 (4x) \, dx\)
(c)
\(\int \frac{1}{11x - 9} \, dx\)
(d)
\(\int \csc(2x+1) \cot(2x+1) \, dx\)
(e)
\(\int \frac{1}{\sqrt{1-16x^2}}\, dx\)
(f)