7.1 inderfinite integral — ગણિત ધોરણ 12 સાયન્સ — Question
Gujarat Boardગુજરાતી માધ્યમધોરણ 12 સાયન્સગણિત7.1 inderfinite integral1 Mark
MCQ
$\int_{}^{} {{e^x}\sin ({e^x})} \;dx = $
✓
$ - \cos {e^x} + c$
B
$\cos {e^x} + c$
C
$ - {\rm{cosec}}\,{e^x} + c$
D
એકપણ નહિ.
✓
Answer
Correct option: A.
$ - \cos {e^x} + c$
a (a)$\int_{}^{} {{e^x}\sin ({e^x})\,dx} $
Put ${e^x} = t$ and ${e^x}dx = dt,$ the integral reduces to
$\int_{}^{} {\sin t\,dt} = - \cos t + c = - \cos ({e^x}) + c.$
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