i need help finding the integral of what is the integral of ? sec^3 ? tan ?/1+ tan² ? d?
V venialove Junior Member Joined Mar 30, 2008 Messages 53 Mar 30, 2008 #1 i need help finding the integral of what is the integral of ? sec^3 ? tan ?/1+ tan² ? d?
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,216 Mar 30, 2008 #2 Re: ap calculus Remember that 1+tan2(θ)=sec2(θ)\displaystyle 1+tan^{2}({\theta})=sec^{2}({\theta})1+tan2(θ)=sec2(θ) That leaves you with ∫sec(θ)tan(θ)dθ\displaystyle \int{sec({\theta})tan({\theta})}d{\theta}∫sec(θ)tan(θ)dθ Knowing what the derivative of secθ\displaystyle sec{\theta}secθ is, should make this straightforward.
Re: ap calculus Remember that 1+tan2(θ)=sec2(θ)\displaystyle 1+tan^{2}({\theta})=sec^{2}({\theta})1+tan2(θ)=sec2(θ) That leaves you with ∫sec(θ)tan(θ)dθ\displaystyle \int{sec({\theta})tan({\theta})}d{\theta}∫sec(θ)tan(θ)dθ Knowing what the derivative of secθ\displaystyle sec{\theta}secθ is, should make this straightforward.
