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Q. $ \int{{{e}^{x}}(1-\cot x+{{\cot }^{2}}x)}\,dx $ equals to

JamiaJamia 2012

Solution:

Let $ {{x}_{1}},{{x}_{2}}\in R $ such that $ {{x}_{1}}<{{x}_{2}} $ . Then, $ {{x}_{1}}<{{x}_{2}} $ $ \Rightarrow $ $ f({{x}_{1}})