intsqrt(cosecx-1)dx=...

`intsqrt(cosecx-1)dx=`

A

`logabs(1/2sinx+1/2sqrt(sin^(2)x+sinx))+c`

B

`logabs(sinx+1/2sqrt(sin^(2)x+sinx))+c`

C

`1/2logabs(sinx+sqrt(sin^(2)x+sinx))+c`

D

`logabs(sinx+1/2+sqrt(sin^(2)x+sinx))+c`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos
DIFFERENTIATION
TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
LINE
TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

TARGET PUBLICATION-INTEGRATION-EVALUATION TEST

Evaluate: int(cos5x+cos4x)/(1-2cos3x)dx
Text Solution
|
intsin^-1sqrt(x/(a+x))dx
Text Solution
|
intsqrt(cosecx-1)dx=
Text Solution
|
Evaluate: intsqrt(tanx)dx
Text Solution
|
intx^(13//2)(1+x^(5//2))^(1//2)dx=
Text Solution
|
If inttanx/(1+tanx+tan^(2)x)dx =x-2/sqrt(A)tan^(-1)((2tanx+1)/sqrt(A...
Text Solution
|
If int1/((x^(2)-1))log((x-1)/(x+1))dx=A[log((x-1)/(x+1))]^(2)+c, the...
Text Solution
|
int1/(x^(2)+2x+2)^(2)dx=
Text Solution
|
Evaluate: int1/(cos^6x+sin^6x)dx
Text Solution
|
If intf(x)sinxcosxdx=(1)/(2(b^(2)-a^(2)))log{f(x)}+C then f(x) is equ...
Text Solution
|
inte^(sintheta)[log(sintheta)+cosec^(2)theta]costheta"d"theta=
Text Solution
|
intcos2thetalog((costheta+sintheta)/(costheta-sintheta))d theta is equ...
Text Solution
|
If f((3x-4)/(3x+4))=x+2, then int f(x)dx is equal to
Text Solution
|
intlog(1-sqrt(x))dx=
Text Solution
|
If P(x)=intx^(3)/(x^(3)-x^(2))dx, Q(x)=int1/(x^(3)-x^(2))dx " and " (P...
Text Solution
|
int(2asinx+bsin2x)/(b+acosx)^(3)dx=
Text Solution
|
int1/((x-1)sqrt(x^(2)-4))dx=
Text Solution
|
int(1+xcosx)/(x{1-(xe^(sinx))^(2)})dx=
Text Solution
|
inttan(sin^(-1)x)dx=
Text Solution
|
intsec^(25//13)xcosec^(27//13)xdx=
Text Solution
|