Trig Derivatives (good)

  1. Sine Function:

sin⁡(x)\sin(x)

Antiderivative:

∫sin⁡(x) dx=−cos⁡(x)+C\int \sin(x) \, dx = -\cos(x) + C

  1. Cosine Function:

cos⁡(x)\cos(x)

Antiderivative:

∫cos⁡(x) dx=sin⁡(x)+C\int \cos(x) \, dx = \sin(x) + C

  1. Tangent Function:

tan⁡(x)\tan(x)

Antiderivative:

∫tan⁡(x) dx=−ln⁡∣cos⁡(x)∣+C\int \tan(x) \, dx = -\ln|\cos(x)| + C

  1. Cotangent Function:

cot⁡(x)\cot(x)

Antiderivative:

∫cot⁡(x) dx=ln⁡∣sin⁡(x)∣+C\int \cot(x) \, dx = \ln|\sin(x)| + C

  1. Secant Function:

sec⁡(x)\sec(x)

Antiderivative:

∫sec⁡(x) dx=ln⁡∣sec⁡(x)+tan⁡(x)∣+C\int \sec(x) \, dx = \ln|\sec(x) + \tan(x)| + C

  1. Cosecant Function:

csc⁡(x)\csc(x)

Antiderivative: \int csc(x) , dx = -\ln|csc(x) + cot(x)| + C