∫sec (ax+b) tan(ax+b)dx=
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the answer is = sec(ax+b)/a + C
Step-by-step explanation:
∫sec(ax+b)tan(ax+b)dx
define u = ax+b
now differentiating u wrt to x we get du/dx = a
or 1/a dx = du
Now it implies :
= 1/a∫sec u.tan u du [by formula]
= 1/a sec u
now substitute the value of u as ax+b we get :
sec(ax+b)/a + C
#SPJ3
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