Home
Class 12
MATHS
int (-1)^(1) (x+1)dx...

`int _(-1)^(1) (x+1)dx`

Text Solution

AI Generated Solution

To solve the integral \( I = \int_{-1}^{1} (x + 1) \, dx \), we will break it down step by step. ### Step 1: Set up the integral We start with the integral: \[ I = \int_{-1}^{1} (x + 1) \, dx \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.10|10 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.11|21 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.8|6 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int_(-1)^(1)(x^2+1)dx is equal to

Evaluate : int _(-1) ^(1) (dx)/( e^(x) + 1) dx

Evaluate the following definite integral: int_(-1)^(1)1/(1+x^2)dx

Solve: int_(-1)^(1)x tan^(-1)x dx

int_(-1)^(1) (e^(|x|))/(1+a^(x))dx

I_(1)=int_(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I_(2)=int_(0)^(2pi)cos^(6)dx , I_(3)=int_(-(pi)/2)^((pi)/2)sin^(3)xdx, I_(4)=int_(0)^(1) In (1/x-1)dx . Then

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

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

int_n^(n+1)f(x) dx=n^2+n then int_(-1)^1 f(x) dx =

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