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

taniska , 10 Years ago
Grade 12
anser 1 Answers
Jitender Singh

Last Activity: 10 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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