int dx/(5+4sinx) =...

`int dx/(5+4sinx) =`

A

`2/3 tan^(-1) (((4cos)x/2+5(sin)x/2)/(3(cos)x/2))`

B

`2/3 tan^(-1)((5+4 (tan)x/2)/3)`

C

`2/3 cot^(-1)((4+5 (tan)x/2)/3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

HYPERBOLA
HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK

int dx/(5+4cosx) =
Text Solution
|
int dx/(4+5cosx) =
Text Solution
|
int dx/(5+4sinx) =
Text Solution
|
int dx/(sin(x-a)sin(x-b)) =
Text Solution
|
int (2cosxdx)/(sinx+cosx)
Text Solution
|
int (2sinxdx)/(sinx +cosx) =
Text Solution
|
int (sinx . cosx)/(a^(2)cos^(2)x+b^(2)sin^(2)x) dx
Text Solution
|
int dx/((x^(2)+a^(2))(x^(2)+b^(2)))=
Text Solution
|
Evaluate : int(x^(2))/((x^(2)+4)(x^(2)+9))dx.
Text Solution
|
int(xdx)/((x^(2)+a^(2))(x^(2)+b^(2))) =
Text Solution
|
int(xdx)/((x^(2)+9)(x^(2)+16)) =
Text Solution
|
int ((a-b)sinx+(a+b)cosx)/(a sinx+b cos x) dx
Text Solution
|
int (2sinx-cosx)/(2cosx+sinx)dx =
Text Solution
|
int (sinx-cosx)/(cosx+sinx)dx =
Text Solution
|
int (cos 2x)/(cosx+sinx)^(2)dx =
Text Solution
|
int(3 sinx +2 cos x)/(3 cos x+2 sin x) dx
Text Solution
|
int( sinx +5 cos x)/(3 sin x+2 cosx) dx
Text Solution
|
int1/(1+cotx)dx =
Text Solution
|
int (sec x dx)/(a cosx + b sinx) =
Text Solution
|
int dx/(sqrt(3x+5)-sqrt(3x+2)) =
Text Solution
|