Prove that \int_{a}^{b} f(x) \dx=\int_{a}^{b} f(a+b-x) \dx and hence evaluate \int_{\pi \/ 6}^{\pi \/ 3} {d x}/{1+\sqrt{\tan x}}

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 20 of 29

Marks: +1, -0

Prove that

∫↙{a}↖{b} f(x) \dx=∫↙{a}↖{b} f(a+b-x) \dx

and hence evaluate

∫↙{π \/ 6}↖{π \/ 3} \;{d x}/{1+{√{\tan x}}}

Solution:

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