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Evaluate integral tan x dx?
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Evaluate integral tan x dx?
Evaluating the Integral of Tan x
To evaluate the integral of tan x, we need to use trigonometric substitution. We can use the substitution u = cos x or u = sin x. Let's use the substitution u = cos x.
Step 1: Finding the Derivative of u
We need to find the derivative of u with respect to x. We have:
du/dx = -sin x
Dividing both sides by -sin x, we get:
dx = -du/sin x
Step 2: Substituting u and dx in the Integral
Using the substitution u = cos x and dx = -du/sin x, the integral becomes:
∫ tan x dx = ∫ (sin x/cos x) dx = ∫ (-du/u)
Step 3: Evaluating the Integral
Integrating -du/u, we get:
-ln|u| + C
Substituting u = cos x, we get:
-ln|cos x| + C
Therefore, the integral of tan x is:
∫ tan x dx = -ln|cos x| + C
Community Answer
Evaluate integral tan x dx?
It's log | sec x| + constant
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Evaluate integral tan x dx?
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Evaluate integral tan x dx? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Evaluate integral tan x dx? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate integral tan x dx?.
Evaluate integral tan x dx? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Evaluate integral tan x dx? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate integral tan x dx?.
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