Home
Class 12
MATHS
int0^1 1/(1+x^2) dx...

`int_0^1 1/(1+x^2)` dx

A

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`I=int_(0)^(1)(dx)/((1+x^(2)))=[tan^(-1)x]_(0)^(1)=(tan^(-1)1-tan^(-1)0)=(pi)/(4)`.
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_0^1 tan^1x/(1+x^2)dx

Find the Definite Integrals : int_0^1 1/((x+1)(x+2)) dx

Evaluate int_0^1 (1/x)(1-x^3)^(-1/2) dx

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx

If I=int_(0)^(1) (1)/(1+x^(pi//2))dx then

int_(0)^(1) (1)/(1+x+2x^(2))dx

What is the value of int_0^1 (tan^-1 x )/(1+x^2) dx dx

Evaluate: int_0^1 cot^-1(1-x+x^2)dx

Evaluate int_0^1 log(1+x)/(1+x^2)dx