Rules of integration

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We use this rule, when we have a 1 dividing our variable "u" and a natural logarithm of a base "a", and it will give us the logarithm of our expression "u" with the base we had seen before + C (constant)

We use this rule, when we have sin of an expression and it will give us a negative cos (expression) + C (constant)

We use this rule, when we have cos of an expression and it will give us a positive sin (expression) + C (constant)

We use this rule when we have sec of an expression to the square and it will give us tan (expression) + C (constant)

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We use this rule to state that when we have Csc squared of an expression it'll give us negative Cot (expression) plus C (constant).

We use this rule to state that when we have Sec of an expression times Tan of an expression it'll give us Sec (expression) plus C (constant).

We use this rule to state that when we have Csc of an expression times Cot of an Expression it'll give us negative Csc (expression) plus C (constant).

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We use this rule to state that when we have Tan of an expression it will give us ln of Sec (expression) plus C (Constant).

We use this rule to integrate a cotangent so cot(u) when integrated becomes into the natural logarithm of sin(u) + C

We use this rule to integrate secant so sec(u) when integrated turns into the natural logarithm of (sec(u) + tan(u)) +C

We use this rule to integrate cosecant so csc(u) when integrated turns into negative natural logarithm of )csc(u) + cot(u) )+ C