Evaluate the integral ∫(cos x)/(1 + sin^2 x) dx Select the correct answer. -tan^-1(sin x) + C -t

Name: Evaluate the integral ∫(cos x)/(1 + sin^2 x) dx Select the correct answer. -tan^-1(sin x) + C -tan(sin^-1 x) + C tan^-1((sin x)/(1)) + C cot^-1((sin x)/(1)) + C
Uploaded: 2021-12-07T05:28:10-08:00
Duration: 7 min 51 s
Channel: Shareef Jackson
Description: Evaluate the integral ∫(cos x)/(1 + sin^2 x) dx Select the correct answer. -tan^-1(sin x) + C -tan(sin^-1 x) + C tan^-1((sin x)/(1)) + C cot^-1((sin x)/(1)) + C

Question

Shareef Jackson · Accepted Answer

Step 1: Let u = sin(x), then du = cos(x)dx

Question

Evaluate the integral \( \int \frac{\cos x}{1 + \sin^2 x} dx \) Select the correct answer. \( -\tan^{-1}(\sin x) + C \) \( -\tan(\sin^{-1} x) + C \) \( \tan^{-1}(\frac{\sin x}{1}) + C \) \( \cot^{-1}(\frac{\sin x}{1}) + C \)

Please give Ace some feedback