If inttan^(-1)sqrtx dx=u tan^(-1)sqrtx-s...

If `inttan^(-1)sqrtx dx=u tan^(-1)sqrtx-sqrtx+c,` then `u=`

A

`x-1`

B

`1-x`

C

`1+x`

D

`2sqrtx-1`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION - INDEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS(PART - B : Mastering The BEST)|327 Videos
INTEGRATION - INDEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos
INTEGRATION - DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
LINE IN SPACE
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

MARVEL PUBLICATION-INTEGRATION - INDEFINITE INTEGRALS-TEST YOUR GRASP

If inttan^(-1)sqrtx dx=u tan^(-1)sqrtx-sqrtx+c, then u=
Text Solution
|
int(x)/(4x+5)dx=
Text Solution
|
int(1)/(e^(x)4e^(-x))dx=
Text Solution
|
Evaluate int(secx)/((secx+tanx)) dx.
Text Solution
|
int(1)/(x(x^(-11)+1))dx=
Text Solution
|
int(1-cosx)cos^(2)x dx=
Text Solution
|
int\ (7x^8+8x^7)/(x^8+x+1)^2 \ dx=
Text Solution
|
int(1)/(sinx.cos^(3)x)dx=
Text Solution
|
int(3e^(x)-4)/(e^(x)+1)dx=
Text Solution
|
int(x^(2))/(x^(2)-5x+6)dx=
Text Solution
|
int2^(x).3^(x+1).4^(x+2)dx=
Text Solution
|
intsin^(3)x. sqrt(cosx)dx=
Text Solution
|
If int1/(x+x^5)dx=f(x)+c ,t h e ne v a l u a t eint(x^4)/(x+x^5)dxdot
Text Solution
|
int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx
Text Solution
|
int[f(logx)+f'(logx)]dx=
Text Solution
|
int[f(x)+x.f'(x)]dx=
Text Solution
|
intsqrt(1-sinx)dx=
Text Solution
|
int(x^(11)+x^(12)+x^(13))/(x^(14)+x^(15))dx=
Text Solution
|
int(x+tanx)/(x.sinx.secx)dx=
Text Solution
|
int(sinx)/(1-sin^(2)x)dx=
Text Solution
|
int(x^(2)+x^(-4))/(x^(3)-x^(-3))dx=
Text Solution
|