Antiderivatives List Antiderivative List means opposite of derivate or we can say that when we want to generate original form of derivative, we perform antiderivation or integration. Here is the antiderivatives list:1. Antiderivative of Rational function: a) Antiderivative of constant k is ∫ k dx = kx + c b) Antiderivative of power function is ∫ xn dx = xn+1 n+1 c) Antiderivative of 1/x is ∫ 1 . dx = ln x + c x 2. Antiderivative of exponential functions: a) Antiderivative of ex is ∫ ex.dx = ex + c b) Antiderivative of ax is ∫ ax.dx = ax + c 3. Antiderivative of logarithm function: Know More About Rational Numbers on a Number LIne
a) Antiderivative of log x is ∫ log x dx = x.log x – x + c b) Antiderivative of loga x is ∫ loga x dx = x.loga x - x + c log a 4. Antiderivative of trigonometry function: a) Antiderivative of sin x is ∫ sin x dx = cos x + c b) Antiderivative of cos x is ∫ cos x dx = -sin x + c c) Antiderivative of tan x is ∫ tan x dx = -ln(cos x) + c or ln(sec x) +c d) Antiderivative of cot x is ∫ cot x dx = ln(sin x) + c 5. Antiderivative of hyperbolic function: a) Antiderivative of sin hx is ∫ sin hx dx = cos hx + c b) antiderivative of cos hx is ∫ cos hx dx = sin hx + c c) antiderivative of tan hx is ∫ tan hx dx = ln(cos hx) + c d) antiderivative of cot hx is ∫ cot hx dx = ln(sin hx) + c These are some standard anti-derivative which we frequently use in calculus
Learn More Irrational Numbers
Thank You
TutorCircle.com