Antiderivatives Review

• Antiderivative of sin(x)

  -cos(x) + C
• Antiderivative of cos(x)

  sin(x) + C
• Antiderivative of sec^2(x)

  tan(x) + C
• Antiderivative of sec(x)tan(x)

  sec(x) + C
• Antiderivative of csc(x)cot(x)

  -csc(x) + C
• Antiderivative of csc^2(x)dx

  -cot(x) + C
• Antiderivative of dx/sqrt(1 - x^2 )

  sin^-1 (x) + C
• Antiderivative of dx/( 1 + x^2)

  tan^-1(x) + C
• Antiderivative of tan(x)dx

  ln(sec(x)) + C
• Antiderivative of k*f(x)fx

  k * int f(x) dx

  $k\int_{ }^{ }f\left(x\right)dx$
• Antiderivative of x^n dx

  $\frac{x^{n+1}}{n+1}+$$C$
• Antiderivative of 1/x dx

  ln |x| + C
• Antiderivative of e^xdx

  e^x + C
• Antiderivative of a^x dx

  $\frac{a^{x}}{\ln\ a}+$$\ C$
• Sin^2(x) = 1/2 [ 1 -cos(2x) ]
• Cos^2(x) = 1/2 [1 + cos(2x)]
• Antiderivative of tan(x)dx

  ln(sec(x)) + C
• Antiderivative of ln(x) dx

  x ln(x) - x + C
• Antiderivative of sec(x)

  ln |sec(x) + tan(x)| + C
• Antiderivative of cot(x)

  ln |sin(x)| + C
• Antiderivative of csc(x)

  ln |csc(x) - cot(x)| + C