If I=∫(cotx−tanx)dx,thenIequal 2log(tanx−cotx)+C 2log∣sinx∣cosx+sin2x∣+C 2log∣∣s∈x−cosx+2s∈xcosx∣∣+C 2log∣∣sin(x+4π)+2sinxcosx∣∣+C

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If {I}={({{{{{x}}}}}-{{{{{x}}}}})}{.{d}{x}.},{t}{h}{e}{n}{I}{e

Question

If $I = \int (cot x - tan x) d x, t h e n I e q u a l$ $2 log (tan x - cot x) + C$ $2 lo g ∣ sin x ∣ cos x + sin 2 x ∣ + C$ $2 lo g ∣ ∣ s \in x - cos x + 2 s \in x cos x ∣ ∣ + C$ $2 lo g ∣ ∣ sin (x + \frac{π}{4}) + 2 sin x cos x ∣ ∣ + C$

Views: 917 students

Found 3 tutors discussing this question

Sophia Discussed

I = \int (cot x - tan x) d x, t h e n I e q u a l

2 log (tan x - cot x) + C

2 lo g ∣ sin x ∣ cos x + sin 2 x ∣ + C

2 lo g ∣ ∣ s \in x - cos x + 2 s \in x cos x ∣ ∣ + C

2 lo g ∣ ∣ sin (x + \frac{π}{4}) + 2 sin x cos x ∣ ∣ + C

7 mins ago

Discuss this question LIVE

7 mins ago

Question Text

I = \int (cot x - tan x) d x, t h e n I e q u a l

2 log (tan x - cot x) + C

2 lo g ∣ sin x ∣ cos x + sin 2 x ∣ + C

2 lo g ∣ ∣ s \in x - cos x + 2 s \in x cos x ∣ ∣ + C

2 lo g ∣ ∣ sin (x + \frac{π}{4}) + 2 sin x cos x ∣ ∣ + C