How do I integrate \sin\theta + \sin\theta \tan^2\theta?

Connor Randall 2022-01-27 Answered
How do I integrate sinθ+sinθtan2θ?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Ydaxq
Answered 2022-01-28 Author has 12 answers
sinθ+sinθtan2θ=sinθ(1+tan2θ)=sinθsec2θ=secθtanθ
because (1+tan2θ)=sec2θ is a standard identity.
Also
dsecθdθ=secθtanθ
is a standard derivative.
Therefore
(sinθ+sinθtan2θ),dθ=secθtanθ,dθ=secθ+C
where C is an arbitrary constant
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more