Home
Class 12
MATHS
A: int (1)/(3+2 cos x)dx=(2)/(sqrt(5))"T...

A: `int (1)/(3+2 cos x)dx=(2)/(sqrt(5))"Tan"^(-1)((1)/(sqrt(5))"tan" (x)/(2))+c`
R: If `a gt b` then `int (dx)/(a+b cosx)=(2)/(sqrt(a^(2)-b^(2)))Tan^(-1)[(sqrt(a-b))/(a+b)"tan"(x)/(2)]+c`

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-3)|4 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

2Tan^(-1)((sqrt(a-b))/(a+b)"tan"x/2)=

(d )/(dx ) { (2)/( sqrt(a ^(2) - b ^(2))) Tan ^(-1) (( sqrt (a -b ))/( a + b) tan (x )/(2 )) }=

A: int (1)/(5+4 sin x)dx=(2)/(3) Tan^(-1)((4+5tan (x//2))/(3))+c R : If a gt 0, a gt b , then int (dx)/(a+b sin x)=(2)/(sqrt(a^(2)-b^(2)))Tan^(-1)[(b+a tan (x//2))/(sqrt(a^(2)-b^(2)))]+c

A: int (1)/(3+4cosx)dx=(1)/(sqrt(7))log|(sqrt(7)+tan(x//2))/(sqrt(7)-tan(x//2))|+c R : If a lt b then int(dx)/(a+b cosx)= (1)/(sqrt(b^(2)-a^(2)))log|(sqrt(b+a)+sqrt(b-a)tan(x//2))/(sqrt(b+a)-sqrt(b-a)tan(x//2))|+c

tan[2"Tan"^(-1)(sqrt(5)-1)/2]=

(d)/(dx ) { Tan ^(-1) ( sqrt(|(a -b)/(a +b)|)tan ""(x)/(2))}=

A: int (1)/(4+5 sinx)dx=(1)/(3)log|(2tan(x//2)+1)/(2tan(x//2)+4)|+c R : If 0 lt a lt b , then int(dx)/(a+b sin x)=(1)/(sqrt(b^(2)-a^(2)))log|(a tan (x//2)+b-sqrt(b^(2)-a^(2)))/(a tan (x//2)+b+sqrt(b^(2)-a^(2)))|+c

d/(dx) ("Tan"^(-1) (x)/(sqrt(a^2 - x^2))) =