Given below are two statements. Statement - 1 : The value of the integral _ / 6 ^ / 3 d x…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Given below are two statements.
Statement - 1 : The value of the integral \(\int_{\pi / 6}^{\pi / 3} \frac{d x}{1+\sqrt{\tan x}}\) is equal to \(\frac{\pi}{6}\).
Statement - 2 : \(\int_{a}^{b} f(x) d x=\int_{a}^{b} f(a+b-x) d x\).
In the light of the above statements, choose the correct answer from the options given below:
- Both Statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both Statements are true and Statement - 2 is not a correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 is true
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