Grade 12Integral Calculus

evaluate the following integral
∫ sec x cosec x / log(tan x) dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int \frac{secxcosecx}{log(tanx)}dx$
$log(tanx) = t$
$\frac{1}{tanx}sec^{2}xdx = dt$
$secxcosecxdx = dt$
$I = \int \frac{1}{t}dt$
$I = log(t)+c$
$I = log(log(tanx))+c$

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evaluate the following integral∫ sec x cosec x / log(tan x) dx

taniska

1 Answer

Jitender Singh

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