What's the integral of 1 x 2 </msup> </mfrac> csc

Kiana Dodson

Kiana Dodson

Answered question

2022-06-11

What's the integral of 1 x 2 csc 2 ( 1 x ) ?

Answer & Explanation

Braedon Rivas

Braedon Rivas

Beginner2022-06-12Added 24 answers

Notice that the term 1 / x 2 is the negative derivative of the function's argument 1 / x. Set u = 1 / x, d u = 1 / x 2 . d u = 1 / x 2 d x. The new integral is of csc 2 ( u ) d u. Integrate that to get c o t ( u ) + C, and substitute u back into the expression to get cot ( 1 / x ) + C

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