Chipset3600
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Hello MHB, how can i solve this without use integration technniques...
\int tan(t)sec^3(t)dt
\int tan(t)sec^3(t)dt
Chipset3600 said:Hello MHB, how can i solve this without use integration technniques...
\int tan(t)sec^3(t)dt
SuperSonic4 said:How do you mean "without using integration techniques"? Surely you need integration techniques to solve an integral? Also what have you tried?
Hint: Let $u = \sec(t) = \frac{1}{\cos(t)}$
Well, maybe you can see all this?If we have: .f(x) \:=\:\tfrac{1}{3}\sec^3\!\theta + CHow can i solve this without use integration technniques?
. . \int \tan\theta \sec^3\!\theta\,d\theta
soroban said:Hello, Chipset3600!
Well, maybe you can see all this?If we have: .f(x) \:=\:\tfrac{1}{3}\sec^3\!\theta + C
Then: .f'(x) \:=\:\tfrac{1}{3}\cdot 3\sec^2\!\theta\cdot\sec\theta\tan\theta + 0 \;=\;\tan\theta\sec^3\!\theta