Trigonometric Integration

Reference > Calculus: Integration

Description

\(\int \sin{x} \, dx=-\cos{x}\)

\(\int \cos{x} \, dx=\sin{x}\)

\(\int \tan{x} \, dx=\ln{(\sec{x})}\)

\(\int \csc{x} \, dx=\ln{(\csc{x}-\cot{x})}\)

\(\int \sec{x} \, dx=\ln{(\sec{x}+\tan{x})}\)

\(\int \cot{x} \, dx=\ln{(\sin{x})}\)


Examples
\[\int \sin{x} \, dx\]
1
Use Trigonometric Integration: the integral of \(\sin{x}\) is \(-\cos{x}\).
\[-\cos{x}\]

2
Add constant.
\[-\cos{x}+C\]

Done