What is the anti derivative of sinx?

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Answer


Vanessa

The general antiderivative of sin(x) is −cos(x)+C . With an integral sign, this is written: ∫sin(x) dx=−cos(x)+C 

Derivative Rule

Antiderivative Rule

dx sin x = cos x

cos x dx = sin x + C

dx cos x = − sin x

sin x dx = − cos x + C

dx tan x = sec2x

sec2x dx = tan x + C

dx cotan x = − cosec2x

cosec2x dx = − cotan x + C

 

Example 1

Antiderivative of sin 5 (X) is that we rewrite the function first then we solve this question so this answer is  -1/5 cos5x+c

That is major example of this question most of question we solve by this methos and we easily solve this question and more.

Example2

What is the Antiderivative of cos 5x is equal to?

Solution

Antiderivative of Cos 5x is

1/5 sin5x + c

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