Home
Class 12
MATHS
(1+cos4x)/(cotx-tanx)...

`(1+cos4x)/(cotx-tanx)`

Text Solution

AI Generated Solution

To solve the integral \(\int \frac{1 + \cos 4x}{\cot x - \tan x} \, dx\), we can follow these steps: ### Step 1: Rewrite cotangent and tangent in terms of sine and cosine The cotangent and tangent functions can be expressed as: \[ \cot x = \frac{\cos x}{\sin x} \quad \text{and} \quad \tan x = \frac{\sin x}{\cos x} \] Thus, we can rewrite the denominator: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|6 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Example For Practice|128 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos

  • LINE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple choice question|9 Videos

Similar Questions

Explore conceptually related problems

int(1+cos 4x)/(cotx-tanx)dx=

int(cos4x-1)/(cotx-tanx)dx is equal to

If int (cos4x+1)/(cotx-tanx)dx=Af(x)+B, then

If int(cos 4x+1)/(cotx-tanx)dx=a cos 4x+c, then a=

"If " int(cos 4x+1)/(cotx-tanx)dx=Acos4x+B, " then "

If int(cos4x+1)/(cotx-tanx)dx=kcos4x+c , then k= (A) -1/4 (B) -1/2 (C) -1/8 (D) none of these

int(cos 4x-1)/(cot x-tanx)dx is equal to

l=int(cos^(4)x+1)/(cotx-tanx)dx is equal to

y=(tanx)^(cotx)+(cotx)^(tanx)