jee-main 2019 Q82

jee-main · India · session2_09apr_shift2 Standard Integrals and Reverse Chain Rule Integral Equation to Determine a Function Value

If $\int e ^ { \sec x } \left( \sec x \tan x f ( x ) + \left( \sec x \tan x + \sec ^ { 2 } x \right) \right) d x = e ^ { \sec x } f ( x ) + C$, then a possible choice of $f ( x )$ is:
(1) $\sec x - \tan x - \frac { 1 } { 2 }$
(2) $\sec x + \tan x + \frac { 1 } { 2 }$
(3) $x \sec x + \tan x + \frac { 1 } { 2 }$
(4) $\sec x + x \tan x - \frac { 1 } { 2 }$

If $\int e ^ { \sec x } \left( \sec x \tan x f ( x ) + \left( \sec x \tan x + \sec ^ { 2 } x \right) \right) d x = e ^ { \sec x } f ( x ) + C$, then a possible choice of $f ( x )$ is:\\
(1) $\sec x - \tan x - \frac { 1 } { 2 }$\\
(2) $\sec x + \tan x + \frac { 1 } { 2 }$\\
(3) $x \sec x + \tan x + \frac { 1 } { 2 }$\\
(4) $\sec x + x \tan x - \frac { 1 } { 2 }$

Paper Questions

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