If int(x^(49)tan^(-1)(x^(50))/(1+x^(100)...

If `int(x^(49)tan^(-1)(x^(50))/(1+x^(100)))dx = k(tan^(-1)(x^(50))^(2)+c)`, then k is equal to

A

`1/50`

B

`-1/50`

C

`1/100`

D

`-1/100`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int (x^(49)Tan^(-1) (x^(50)))/((1+x^(100)))dx=k (Tan^(-1)(x^(50))^(2)+c rArr k=

If inte^(-x)tan^(-1)(e^(x))dx

int e^(Tan^(-1))((1+x+x^(2))/(1+x^(2)))dx=

int Tan^(-1)((2x)/(1-x^(2)))dx=

2 int_(0)^(1) (tan^(-1)x)/(x) dx=

int_(0)^(1) Tan^(-1) ((2x-1)/(1+x-x^(2)))dx=

int_(0)^(1)Tan^(-1)[(2x-1)/(1+x-x^(2))]dx=

int (tan (sin^(-1)x))/(sqrt(1-x^(2)))dx=

If int(e^(x)-1)/(e^(x)+1)dx = f(x)+c, then f(x) is equal to
Text Solution
|
int tan^(-1) (sqrt((1-x)/(1+x)))dx is equal to
Text Solution
|
int(sinx + 8 cosx)/(4 sinx + 6 cosx)dx is equal to
Text Solution
|
Assertion (A) (x^(2)-1)/(x^(2))e^(x^(2)+1)/x dx = e^(x^(2)+1)/x + c ...
Text Solution
|
If intsqrt(x/(a^(3)-x^(3)))dx = g(x)+c, then g(x) is equal to
Text Solution
|
If int(dx)/(x^(2) + 2x+2) =f(x) +c, then f(x) is equal to
Text Solution
|
If int(sinx)/(cosx(1+cosx))dx = f(x)+c, then f(x) is equal to
Text Solution
|
If int(x^(49)tan^(-1)(x^(50))/(1+x^(100)))dx = k(tan^(-1)(x^(50))^(2)+...
Text Solution
|
If int sin^(-1)(2x)/(1+x^(2))dx = f(x) - log(1+x^(2))+c, then f(x) is ...
Text Solution
|
int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=
Text Solution
|
int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=
Text Solution
|
int (sqrt(cotx))/(sin xcos x)dx=-f (x)+c rArr f(x)=
Text Solution
|
int((1+x)+sqrt(x)*sqrt(1+x))/(sqrt(x)+sqrt(1+x))))dx is equal to
Text Solution
|
The integral int (1+x-(1)/(x))e^(x+1//x) dx is equal to
Text Solution
|
int(dx)/(1-cosx-sinx) is equal to
Text Solution
|
int(dx)/(7+5 cosx) is equal to
Text Solution
|
int(3^(x)dx)/sqrt(9^(x)-1) is equal to
Text Solution
|
int (dx)/(sqrt(x) (x+9))) is equal to
Text Solution
|
int(x+1)^(2)e^(x)dx=
Text Solution
|
Evaluate the integerals. int (dx)/(a ^(2) sin ^(2) x+b^(2) cos ^(2...
Text Solution
|