Value of -aalog a - tan xdx where a- 0- -2 is equal to-

The correct option is A NoneGiven integral is #160; ∫_a^alog ( a + tan x)dx where aϵ (0, π2) Any integral with the same upper and lower limit must ...

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Standard XII

Mathematics

Integration by Substitution

Value of ∫a...

Question

Value of $\int_{a}^{a} log (cot a + tan x) d x$ where $a ϵ (0, \frac{π}{2})$ is equal to?

+ a log (sin a)

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- a log (sin a)

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- a log (cos a)

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None

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Solution

The correct option is A None
Given integral is $\int_{a}^{a} log (cot a + tan x) d x$ where $a ϵ (0, \frac{π}{2})$
Any integral with the same upper and lower limit must evaluate to ZERO.
So, none is the answer.

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Value of ∫aalog(cota+tanx)dx where aϵ(0,π2) is equal to?

The correct option is A NoneGiven integral is ∫aalog(cota+tanx)dx where aϵ(0,π2)Any integral with the same upper and lower limit must evaluate to ZERO.So, none is the answer.

Value of $\int_{a}^{a} log (cot a + tan x) d x$ where $a ϵ (0, \frac{π}{2})$ is equal to?

The correct option is A None
Given integral is $\int_{a}^{a} log (cot a + tan x) d x$ where $a ϵ (0, \frac{π}{2})$
Any integral with the same upper and lower limit must evaluate to ZERO.
So, none is the answer.