int (1+t^(2))/(1+t^(4))dt =...

`int (1+t^(2))/(1+t^(4))dt =`

A

`sqrt2 tan^(-1)((t^(2)-1)/sqrt(2t))`

B

`1/sqrt2 tan^(-1)((t^(2)-1)/(tsqrt(2)))`

C

`1/sqrt2 tan^(-1)((1-t^(2))/sqrt(2t))`

D

`sqrt2 tan^(-1)((1-t^(2))/sqrt(2t))`

Verified by Experts

The correct Answer is:

B

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

Similar Questions

Explore conceptually related problems

If x = (1-t^(2))/(1+t^(2)) and y = (2t)/(1+t^(2)) then dy/dx =

Let A = int_0^(1) e^(t)/(t+1) dt , then int_0^(1) (t.e^(t^(2)))/(t^(2)+1) dt =

The values of lim_(x rarr 0) (1)/(x^(3)) int_(0)^(x) (t In (1 + t))/(t^(4) + 4)dt is :

If x Aos 4t+Bsin4t then (d^(2)x)/(dt^(2)) =

If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =

If x = sqrt((1-t^(2))/(1+t^(2)) and y = (sqrt(1+t^(2))-sqrt(1-t^(2)))/(sqrt(1+t^(2)) + sqrt(1-t^(2))) then (d^(2)y)/(dx^(2)) =

If int_0^1 (e^t)/(1 + t) dt = a, then int_0^1 (e^t)/((1 + t)^(2))dt is equal to:

The point of extremum of the function phi (x) = int_1^(x) e^(t^(2)/2) (1-t^(2)) dt are

Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is:

int dx/(sqrt(cos^(4)x-cos^(2)x sin^(2)x) ) =
Text Solution
|
int((1+x)^(2))/(x(1+x^(2)))dx =
Text Solution
|
int (1+t^(2))/(1+t^(4))dt =
Text Solution
|
int(4x^(3))/(1+x^(8)) dx =
Text Solution
|
For the function f(x) = 1+ 3^(x) log 3, the antiderivative F assumes t...
Text Solution
|
If an antiderivative of f(x) is e^(x) and that of g(x) is cos x, then ...
Text Solution
|
If f(x) = cos x - cos^(2)x + cos^(3)x + …. to oo int f(x) dx =
Text Solution
|
If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =
Text Solution
|
int 2/(1-x^(4)) dx = k log ((1+x)/(1-x)) + tan^(-1)x then k =
Text Solution
|
int dx/((x^(2)+1)(x^(2)+4))= k tan^(-1) x + l (tan^(-1)) x/2 then
Text Solution
|
int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2)), then A =
Text Solution
|
int (sin 2x +cos 2x) dx = 1/sqrt2 sin (2x-a) then a =
Text Solution
|
If I(1) = int sin^(-1) x dx and I(2) = int sin^(-1) sqrt(1-x^(2))dx th...
Text Solution
|
int d^(2)/(dx^(2))(tan^(-1) x) dx =
Text Solution
|
If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, the...
Text Solution
|
In n (ne 1) in N and I(n) = intcosec^(n) dx then (n-1)((n)+cosec^(n-2)...
Text Solution
|
If n(ne 1) in N and I(n) =int sec^(n)x dx then (n-1) I(n)-(n-2)I(n-2) ...
Text Solution
|
If n in N and I(n) = intsin^(n) x dx then nI(n)-(n-1)I(n-2) =
Text Solution
|
If n in N and I(n) = intcos^(n) xdx then nI(n) - cos^(n-1)x. sinx =
Text Solution
|
If n(ne 1) in N and I(n) = int tan^(n) x dx then I(n)+I(n-2) =
Text Solution
|