Compute the indefinite integral. \int \frac{(1-\sin 2x)}{\cos x}dx

e1s2kat26

e1s2kat26

Answered question

2021-10-15

Compute the indefinite integral.
(1sin2x)cosxdx

Answer & Explanation

Derrick

Derrick

Skilled2021-10-16Added 94 answers

Step 1
The given integral is,
(1sin2x)cosxdx
Step 2
Evaluate the integral as follows.
(1sin2x)cosxdx=(1cosxsin2xcosx)dx
=1cosxdx2sinxcosxcosxdx
=secxdx2sinxdx
=ln|tan(x)+sec(x)|+2cosx+C

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