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 = sec |
sec |

dx cotan x = − cosec |
cosec |

**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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