Home
Class 12
MATHS
(1)/(1+sin x)...

`(1)/(1+sin x)`

Text Solution

AI Generated Solution

To solve the integral \(\int \frac{1}{1 + \sin x} \, dx\), we can follow these steps: ### Step 1: Rationalize the Denominator We start by multiplying the numerator and denominator by \(1 - \sin x\): \[ \int \frac{1 - \sin x}{(1 + \sin x)(1 - \sin x)} \, dx \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|6 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

If y= tan ^(-1) sqrt (( 1 - sin x)/( 1 + sin x)) , then the vluae of (dy)/(dx) at x = pi /2 is

If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?

" (1) "int(1+sin x)/(1-sin x)dx

sqrt((1+sin x)/(1-sin x))

If y=tan^(-1)sqrt((1-sin x)/(1+sin x)), then the value of (dy)/(dx) at x=(pi)/(6) is.

f(x)=tan^(-1)sqrt((1+sin x)/(1-sin x))

Simplify tan^(-1)(sqrt((1-sin x)/(1+sin x))), 0lt x ltpi

if y=cot^(-1)(sqrt((1-sin x)/(1+sin x))) find the value of (dy)/(dx)

y=log ((1-sin x )/(1+sin x )),then (dy)/(dx) =