Home
Class 12
MATHS
int (d theta)/((sin theta - 2 cos theta)...

`int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(5)ln|tan theta -2|- (1)/(5)ln|2 tan theta + 1+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

If 5 cos theta = 6 , sin theta , evalutate : (12 sin theta - 3cos theta)/(12 sin theta + 3 cos theta)

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)

If the system of linear equations {:((cos theta)x + (sin theta) y + cos theta=0),((sin theta)x+(cos theta)y + sin theta=0),((cos theta)x + (sin theta)y -cos theta=0):} is consistent , then the number of possible values of theta, theta in [0,2pi] is :

Prove that : (cos theta)/(1-tan theta) + (sin theta)/(1-cot theta) = sin theta + cos theta

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

The expression cos 3 theta + sin 3 theta + (2 sin 2 theta-3) (sin theta- cos theta) is positive for all theta in

Prove that : (cos 4theta + cos 3theta + cos 2theta)/(sin 4theta + sin 3theta + sin 2theta) = cot 3theta

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is