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STD 12 - 7.1 inderfinite integral — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 7.1 inderfinite integral4 Marks
MCQ
$\int {{e^{\sin x}}\left( {\sin x + {{\sec }^2}x} \right)} \,dx$ is equal to
  • A
    ${e^{\sin x}}.\tan x + C$
  • B
    ${e^{\sin x}}.\sec x + C$
  • C
    ${e^{\sin x}}.\cot x + C$
  • D
    None of these
✓

Answer

$\int {{e^{\sin x}}\left( {\cos x\tan x + {{\sec }^2}x} \right)} \,dx$
$= {e^{\sin x}}\tan x + C$

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