Ifint(-pi/4)^((3pi)/4)(e^(pi/4)dx)/((e^x...

`Ifint_(-pi/4)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx))=kint_(-pi/2)^(pi/2)secx dx` , then the value of k is (a) `1/2` (b) `1/(sqrt(2))` (c) `1/(2sqrt(2))` (d) `-1/(sqrt(2))`

Text Solution

AI Generated Solution

Topper's Solved these Questions

INEQUALITIES INVOLVING MEANS
CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
INTRODUCTION TO VECTORS
CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

Ifint_(-pi)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx)=kint_(-pi/2)^(pi/2)secx dx ,t h e nt h ev a l u eofki s 1/2 (b) 1/(sqrt(2)) (c) 1/(2sqrt(2)) (d) -1/(sqrt(2))

int_(-pi/4)^(pi/4)(secx)/(1+2^(x))dx .

The value of int_(-pi//4)^(pi//4)(e^(x)sec^(2)x)/(e^(2x)-1)dx , is

Evaluate int_(0)^(pi//4)(e^(secx)[sin(x+(pi)/(4))])/(cosx(1-sin x))dx

I_(1)=int_(0)^((pi)/2)Ln (sinx)dx, I_(2)=int_(-pi//4)^(pi//4)Ln(sinx+cosx)dx . Then

int_(pi//3)^(pi//2) (sqrt(1+cosx))/((1-cosx)^(5//2))\ dx

If I=int_(0)^(3pi//4) ((1+x)sinx+(1-x)cosx)dx , then the value of (sqrt(2)-1)I is_______

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is sqrt(2)pi (b) pi/(sqrt(2)) 2sqrt(2)pi (d) pi/(2sqrt(2))

int_(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(pi)/(4)))) is equal to

Evaluate: int_-(pi/4)^((3pi)/4) (sqrt(2)[1+sin(x-pi/4)])/(sqrt(2)-cos|x|+sin|x|)dx

CENGAGE ENGLISH-INTEGRALS-All Questions

Show that ("lim")(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6
Text Solution
|
int(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dx i s equal to...
Text Solution
|
Ifint(-pi/4)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx))=kint(-p...
Text Solution
|
If f(x) =(e^x)/(1+e^x), I1=int(f(-a))^(f(a)) xg(x(1-x))dx, and I2=int(...
Text Solution
|
If f(y)=e^y ,g(y) = y>0,a n d \ F(t)=int0^t f(t-y)g(y)dy ,then
Text Solution
|
G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integr...
Text Solution
|
"I f"I1=int(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I2=int(-10...
Text Solution
|
int0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) p...
Text Solution
|
int0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u a lto 3/8 (b) 1/8 (c) -3/8 ...
Text Solution
|
The value of int1^e (1+x^2 In x)/(x+x^2 In x) dx is equal (a) In (1+...
Text Solution
|
The value of integral int0^(1/sqrt3) (dx)/((1+x^2)sqrt(1-x^2)) must be...
Text Solution
|
Ifint0^oo(x^2dx)/((x^2+a^2)(x^2+b^2)(x^2+c^2)) =pi/(2(a+b)(b+c)(c+a...
Text Solution
|
The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to ...
Text Solution
|
Determine a positive integer nlt=5 such that int0^1e^x(x-1)^n=16-6e
Text Solution
|
Let f be a continuous function on [a ,b]dot Prove that there exists a ...
Text Solution
|
If f(x)={(1-|x| ,, |x|lt=1),(0 ,, |x|>1):} and g(x)=f(x-1)+f(x+1), th...
Text Solution
|
Evaluate: int0^(1)sin^(-1)((2x)/(1+x^2))dx
Text Solution
|
Evaluate: int0^(pi/4)(tan^(-1)((2cos^2theta)/(2-sin2theta)))sec^2theta...
Text Solution
|
L e t \ f(n)=1+1/2+1/3+...+1/n. Then show that f(n)=int0^(pi/2)cot(the...
Text Solution
|
Let f(x) be a continuous function AAx in R , except at x=0, such that...
Text Solution
|