Let In=int tan^n x dx, (n>1). If I4+I6...

Let `I_n=int tan^n x dx, (n>1)`. If `I_4+I_6=a tan^5 x + bx^5 + C`, Where `C` is a constant of integration, then the ordered pair `(a,b)` is equal to :

`(1/5,-1)`

`(-1/5,0)`

`(-1/5,1)`

`(1/5,0)`

Text Solution

Verified by Experts

Topper's Solved these Questions

INTEGRALS
MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
DIFFERENTIAL EQUATIONS
MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos
INVERSE - TRIGONOMETRIC FUNCTIONS
MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

Let I_(n)=int tan^(n)xdx,(n>1). If I_(4)+I_(6)=a tan^(5)x+bx^(5)+C, where C is a constant of integration,then the ordered pair (a,b) is equal to :

Let I_(n)=int tan^(n)xdx,(n>1) If I_(4)+I_(6)=a tan^(5)x+bx^(5)+C, where C is a a constant of integration,then the ordered pair (a,b) is equal to : (1)((5)/(1),-1)(2)(-(1)/(5,0))(3)(-(1)/(5),1)(4)((1)/(5),0)

LetI _(n)=int tan^(n)xdx,(n>1). If I_(4)+I_(6)=a tan^(5)x+bx^(5)+c where c is a constant of integration then thee ordered pair (a,b) is

Let I_(n)=inttan^(n)xdx , n gt 1 . I_(4)+I_(6)=atan^(5)x+bx^(5)+C , where C is a constant of integration , then the ordered pair ( a , b) is equal to

Let I_(n)=inttan^nxdx,(ngt1)*I_(4)+I_(6)=atan^5x+bx^5+c , where c is constant of integration, then the ordered pair (a,b) is equal to

If int ( cos x - sin x )/( sqrt(8 - sin 2x ))dx = a sin^(-1) (( sin x + cos x )/(b)) +c , where c is a constant of integration, then the ordered pair (a, b) is equal to :

If int (2x + 5 )/(sqrt(7 - 6 x - x ^ 2 )) dx = A sqrt (7 - 6x - x ^ 2 ) + B sin ^ ( -1) (( x + 3 )/( 4 ) ) + C (Where C is a constant of integration), then the ordered pair (A, B) is equal to :

What is int sec^(n)x tan xdx equal to ? Where 'c' is a constant of integration

If int sin^(-1) ( sqrt( (x)/(1 + x) ) )dx = A(x) tan^(-1) (sqrtx) + B(x) + C , where C is a constant of integration then the ordered pair (A(x) , B(x) ) can be :

MODERN PUBLICATION-INTEGRALS-COMPETITION FILE

The value of int0^1 (8log(1+x))/(1+x^2) dxis:
Text Solution
|
For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...
Text Solution
|
Let [] denote the greatest integet function then the value int0^1.5 x[...
Text Solution
|
If the integral int (5 tanx)/(tanx-2) dx=x+a log |sin x-2 cosx|+c, the...
Text Solution
|
If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals
Text Solution
|
If int f(x)dx=psi(x), then int x^5f(x^3)dx
Text Solution
|
The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...
Text Solution
|
The integral int(1+x-1/x)e^(x+1/x)dx is equal to
Text Solution
|
The integral int(0)^(pi)sqrt(1+4"sin"^2(x)/(2)-4"sin"(x)/(2)) dx is e...
Text Solution
|
"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"
Text Solution
|
The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...
Text Solution
|
The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...
Text Solution
|
underset (n rarr infty )(lim) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is e...
Text Solution
|
int(pi//4)^(3pi//4)(dx)/(1+cosx) is equal to
Text Solution
|
Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...
Text Solution
|
The integral int(sin^(2)xcos^(2)x)/(sin^(5)x+cos^(3)xsin^(2)x+sin^(3...
Text Solution
|
The value of int(-pi/2)^(pi/2) (sin^2x)/(1+2^x)dx is: (A) pi (B) pi/2 ...
Text Solution
|
Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" an...
Text Solution
|
The integral int cos(logex)dx is equal to (where C is constant of inte...
Text Solution
|
The integral int sec^(2//3) "x cosec"^(4//3)"x dx" is equal to (here C...
Text Solution
|