Home
Class 12
MATHS
int(0)^(pi//2)(sinx)/((sinx+cosx))dx=?...

`int_(0)^(pi//2)(sinx)/((sinx+cosx))dx=?`

A

`pi`

B

`(pi)/(2)`

C

`0`

D

`(pi)/(4)`

Text Solution

AI Generated Solution

To solve the integral \( I = \int_{0}^{\frac{\pi}{2}} \frac{\sin x}{\sin x + \cos x} \, dx \), we can use the property of definite integrals. Here’s a step-by-step solution: ### Step 1: Define the Integral Let \[ I = \int_{0}^{\frac{\pi}{2}} \frac{\sin x}{\sin x + \cos x} \, dx \] ...
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RS AGGARWAL|Exercise Exercise 16D|17 Videos

  • CROSS,OR VECTOR, PRODUCT OF VECTORS

    RS AGGARWAL|Exercise Exercise 24|26 Videos

  • DETERMINANTS

    RS AGGARWAL|Exercise Objective Questions|29 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(cosx)/((sinx+cosx))dx=(pi)/(4)

int_(0)^(pi//2)(x)/(sinx+cosx)dx .

Evaluate int_(0)^(pi//2)(x)/((sinx+cosx))dx .

int(sinx)/((sinx-cosx))dx=?

int_(0)^(pi//2)(sinx)/(sqrt(1+cosx))dx

Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

int_(0)^(pi//2) (sin x) / ((sinx + cosx)^(2) ) dx =

int_(0)^(pi//2) (sin x) / ((sinx + cosx)^(3) ) dx =

int(sinx)/(sinx-cosx)dx=

int_(0)^(pi//2)(sqrt(sinx)cosx)^(3)dx=?