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Fill in the blanks to complete each of the following integration formulas.

tanxdx=______

Short Answer

Expert verified

The obtained result is-lncosx+C.

Step by step solution

01

Step 1. Given information.

Consider the given integration.

tanxdx

02

Step 2. Find the integration.

Simplify the expression and find the integration.

tanxdx=sinxcosxdx

Put cosx=tand dt=-sinxdx.

Substitute the above values in integration.

tanxdx=-1tdt=-lnt+C=-lncosx+C

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