Grade 12Integral Calculus

evaluate the following integral
∫ sec x tan x / 3 sec x + 5 dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello student,
Please find the answer to your question below

$I = \int \frac{secxtanx}{3secx+5}dx$
$3secx+5 = t$
$3secxtanxdx = dt$
$I = \frac{1}{3}\int \frac{1}{t}dt$
$I = \frac{1}{3}lnt + c$
$I = \frac{1}{3}ln(3secx+5) + c$

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evaluate the following integral∫ sec x tan x / 3 sec x + 5 dx

taniska

1 Answer

Jitender Singh

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