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tmmackie9261
02.11.2019 •
Mathematics
Find the antiderivative for each function when c = 0. check your answers by differentiation.
(a) h(x)= (secant x)^2
(b) g(x)= 8/9(secant x/9)^2
(c) k(x)= (- secant 9x/8)^2
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Ответ:
Answer with Step-by-step explanation:
We are given that C=0
We have to find the anti-derivative of each function
We know that![\int sec^2 xdx=tanx+C](/tpl/images/0356/3486/31811.png)
Apply this formula then, we get
Substitute C=0
Then, we get![\int h(x) dx=tan x](/tpl/images/0356/3486/4ee03.png)
Verification :
Differentiate w.r.t x
Then, we get
Substitute C=0
Verification:
Differentiate w.r.t x
Substitute C=0
Verification: Differentiate w.r.t x
Ответ: