∫ #10;tan xdx #10; #10; = #10;∫sin xcos xdx #10; #10;Put #160; cos x = t #10; #10; #10;sin xdx = dt #10; #10; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Basic Trigonometric Identities

Solve ∫tan ...

Question

Solve $\int tan x d x$

Open in App

Solution

$\int tan x d x$

$= \int \frac{sin x}{cos x} d x$

Put $cos x = t$

$- sin x d x = d t$

$= - \int \frac{d t}{t}$

$= - log cos x + c$

$= log sec x + c$

Suggest Corrections

Similar questions

\int t a n (x) d x = ?

\int \frac{{sec}^{4} x}{\sqrt{(tan x)}} d x

\int \frac{{sec}^{2} x}{tan x} d x

\int \frac{1}{1 + tan x} d x

\int \frac{1}{2 + tan x} d x

Join BYJU'S Learning Program