Question

please sølve this question of

MATHS.......✌​

Answer 1

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

Answer 2

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