Mult
![(x^m)(x^n)=x^{m+n}](https://tex.z-dn.net/?f=%28x%5Em%29%28x%5En%29%3Dx%5E%7Bm%2Bn%7D)
div
![\frac{x^m}{x^n} =x^{m-n}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5Em%7D%7Bx%5En%7D%20%3Dx%5E%7Bm-n%7D)
baseically, x is the base, and m and n are bases
you can only use this property if bases are same
baseically
multiply means add powers
divide means subtract bottom power from top
F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
Answer:
hi
Step-by-step explanation:
Answer:
-5a-15/4
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6
Step-by-step explanation: