1.

Please sølve this question of MATHS.......✌​

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ANSWER:

F(X) = secx

Step-by-step explanation:

\int\limits {e^x(tanx+1)secx}\,dx

= \int\limits {e^x(tanxsecx+secx)}\,dx

= \int\limits {(e^xtanxsecx+e^x secx)}\,dx ............................(i)

LET,

e^xsecx = y

(e^xsecx + e^x secx \times tanx )dx= dy

Now, (i) ............

= \int\limits dy

= y + c

= e^xsecx + c = e^x f(x) +c

So, f(x) = secx


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