CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Derivative of Some Standard Functions

Integral 1+co...

Question

Integral 1+cos^2x/1-cos2x.dx

Open in App

Solution

+cos(2x)=2cos2(x)

1-cos(2x)=2sin2(x)

Integral of 1+COS2x/ 1-COS2x=Integral of 2cos2x/2sin2x = Integral of cot2x = Integral of {1- cosec2x}

= Integral od 1 dx - Integral of cosec2x dx = x - (- cotx )+ C = x + cotx +c
ans = x+cotx+c

Suggest Corrections

thumbs-up

14

Similar questions

Q. Integrate w.r.to

x

{tan}^{- 1} (\frac{\sqrt{1 - cos 2 x}}{1 + cos 2 x})

\int {tan}^{- 1} (\sqrt{\frac{1 - cos 2 x}{1 + cos 2 x}}) d x

Q. The minimum integral value of

x

2 x^{2} + 2 x + n > 9 + {sin}^{- 1} (sin (- 1)) + {cos}^{- 1} (cos (- 1)) \forall x \in R,

Q. Integrate the following:

\frac{1}{\sqrt{1 + cos 2 x}}

\int \frac{1}{1 - cos 2 x} d x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Derivative of Standard Functions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Derivative of Some Standard Functions

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon