Home
Class 12
MATHS
Prove thatint0^1x e^x dx=1...

Prove that`int_0^1x e^x dx=1`

Text Solution

AI Generated Solution

To prove that \[ \int_0^1 x e^x \, dx = 1, \] we will use integration by parts. ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.3|24 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|46 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.5|23 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

int_0^1 e^x dx

int_(0)^(1) x e^(x) dx=1

int_0^1 x^2 e^(2x) dx

int_0^1 e^(2-3x)dx

Prove that 0 lt int_0^1(x^7dx)/((1+x^8)^(1/3)) lt 1/8

Prove that 0 lt int_0^1(x^7dx)/((1+x^8)^(1/3)) lt 1/8

int_(0)^(1)x e^(x^(2)) dx

Evaluate: int_0^1x\ e^x dx

int_0^1(e^x dx)/(1+e^x)

Prove that int_0^1 tan^-1((2x-1)/(1+x-x^2))dx=0