Trigonometric Antiderivatives

Reverse the standard derivative formulas. For tangent and cotangent, rewrite in sine and cosine and apply the logarithmic reverse-chain-rule form. **Integrand** | **Antiderivative** sin x | -cos x+C cos x | sin x+C sec2x | tan x+C cosec2x | -cot x+C sec xtan x | sec x+C cosec,xcot x | -cosec,x+C tan x | -ln|cos x|+C cot x | ln|sin x|+C For an angle ax+b, divide the corresponding antiderivative by a, where a 0. Work on an interval without a zero denominator.