Antiderivatives

Examples
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Lessons
  1. Derivative VS. Antiderivative
    1. For the function f(x)=x3f(x)=x^3,
      i) find the derivative.
      ii) find the antiderivative.
    2. Find the antiderivative of the function: f(x)=xn,n≠−1f(x)=x^n, n\neq-1
  2. Find the antiderivative of each of the following functions.
    1. f(x)=x100f(x)=x^{100}
    2. f(x)=7x−2f(x)=7x^{-2}
  3. Find the derivatives and antiderivatives of the following common functions.
    derivatives and antiderivatives of common functions
  4. Find the antiderivative of each of the following functions.
    1. f(x)=4x5−6x2+7x−xx2+5cosx−100ex f(x)= \frac{4x^5-6x^2+7x-\sqrt{x}}{x^2}+5cos x-100e^x
    2. g(x)=5x+31−x2 g(x)=5^x+\frac{3}{\sqrt{1-x^2}}