First slide

Introduction to integration

Question

$\int \frac{\cos e c^{2} x - 2005}{\cos^{2005} x} d x$

Moderate

A

$\frac{\cot x}{{(\cos x)}^{2005}} + C$
B

$\frac{\tan x}{{(\cos x)}^{2005}} + C$
C

$\frac{\tan x}{{(co t x)}^{2005}} + C$
D

$\frac{- \cot x}{{(\cos x)}^{2005}} + C$

Solution

$\begin{array}{l} I = \int (\cos x)^{- 2005} \cos e c^{2} x d x - 2005 \int \frac{d x}{\cos^{2005} x} \\ I = (\cos x)^{- 2005} (- \cot x) - \int (- 2005) (\cos x)^{- 2006} (- \sin x) (- \cot x) d x - 2005 \int \frac{d x}{\cos^{2005} x} \\ I = \frac{- \cot x}{(\cos x)^{2005}} + C \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App