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Exercise

$\frac{1+\sec\left(b\right)}{1-\sec\left(b\right)}$

Roots of the equation

$b=\mathrm{arcsec}\left(-1\right)$
See step-by-step solution

Derivative of this function

$\frac{d}{db}\left(\frac{1+\sec\left(b\right)}{1-\sec\left(b\right)}\right)=\frac{\sec\left(b\right)\tan\left(b\right)\left(1-\sec\left(b\right)\right)+\left(1+\sec\left(b\right)\right)\sec\left(b\right)\tan\left(b\right)}{\left(1-\sec\left(b\right)\right)^2}$
See step-by-step solution

Integral of this function

$\int\frac{1+\sec\left(b\right)}{1-\sec\left(b\right)}db=\frac{b\left(1+\sec\left(b\right)\right)}{1-\sec\left(b\right)}+C_0$
See step-by-step solution

Try other ways to solve this exercise

  • Choose an option
  • Write in simplest form
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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