int0^(pi/2) e^(x) ((1+sinx)/(1+cosx)) dx...

`int_0^(pi/2) e^(x) ((1+sinx)/(1+cosx)) dx =`

A

`pi/4`

B

0

C

`e^(pi/2)`

D

`e^(pi/2)-1`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES
HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
DIFFERENTIAL EQUATIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK

int0^(1) (dx)/(1+x^(2)) dx =
Text Solution
|
int1^(4) (1)/(1+sqrtx) dx =
Text Solution
|
int0^(pi/2) e^(x) ((1+sinx)/(1+cosx)) dx =
Text Solution
|
int2^(e)[1/(log x)-1/((log x)^(2))]dx
Text Solution
|
int0^(1) (xe^(x))/(1+x)^(2) dx =
Text Solution
|
int0^(1) (x-1)e^(-x) dx =
Text Solution
|
int(-1)^(1) (x^(2) sin^(-1)x) /(sqrt(1-x^(2)) )dx
Text Solution
|
int(-1)^(1) (x sin^(-1)x) /(sqrt(1-x^(2)) )dx
Text Solution
|
int0^(1) (xdx)/((x+sqrt(((1-x^(2)))))sqrt((1-x^(2)) ) )dx =
Text Solution
|
int0^1 (dx)/((x^2 +1)^(3//2))dx is equal to :
Text Solution
|
int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to
Text Solution
|
int(log(x^(2)))/(x)dx=
Text Solution
|
int0^(pi/4) (e ^(tanx))/(cos^(2)x) dx =
Text Solution
|
int1^(2) (log x)dx =
Text Solution
|
int0^(oo) x e^(-x) dx=
Text Solution
|
int1^(4) xsqrtx dx =
Text Solution
|
int0^(log 5) e^(x) sqrt(e^(x)-1)/(e^(x)+3) dx =
Text Solution
|
int0^(pi/2) sin 2x. Log (tan x ) dx =
Text Solution
|
int0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =
Text Solution
|
int0^(pi/2) cos^(5) (x/2). Sin x dx =
Text Solution
|