Trigonometric Integration

Reference > Calculus: Integration

Description

∫sin⁡x dx=−cos⁡x\int \sin{x} \, dx=-\cos{x}

∫cos⁡x dx=sin⁡x\int \cos{x} \, dx=\sin{x}

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

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

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

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


Examples
∫sin⁡x dx\int \sin{x} \, dx
1
Use Trigonometric Integration: the integral of sin⁡x\sin{x} is −cos⁡x-\cos{x}.
−cos⁡x-\cos{x}

2
Add constant.
−cos⁡x+C-\cos{x}+C

Done

See Also

Cymath foriOSAndroid