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Integration of Sinh x = ...?

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Answer
    cosh x + C
Explanation

Above question is about "What is the integration of sinh x (sin hyperblic function)".

Check the following trigonometric and hyperblic function and learn it by heart. Don't mix it with each other. You can also make a chart of integration formula and display it in your class room/ bed room.


Integration of trigonometric function
    /  
    | sin x dx = - cos x  + C
    /  

    /  
    | cos x dx = sin x
    /  

    /    2
    | sec x dx = tan x
    /  

    /    2
    | csc x dx = - cot x
    /  

    /  
    | sec x tan x dx = sec x
    /  

    /  
    | csc x cot x dx = - csc x
    /   

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Integration of hyperbolic function
    /  
    | sinh x dx = cosh x  + C
    /  

    /  
    | cosh x dx = sinh x
    /  

    /     2
    | sech x dx = tanh x
    /  

    /     2
    | csch x dx = - coth x
    /  

    /  
    | sech x tanh x dx = - sech x
    /  

    /  
    | csch x coth x dx = - coth x
    /  
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