Home
Class 12
MATHS
Show thatGamma(n)=2int(0)^(infty)e^(-x^(...

Show that`Gamma(n)=2int_(0)^(infty)e^(-x^(2))x^(2n-1)`dx.

Text Solution

Verified by Experts

The correct Answer is:
`Gamma(n)`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.1|3 Videos

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.2|1 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(1) e^(-x)(1+x^2)dx .

Show that int_(0)^(1)(e^(x))/(1+e^(2x))dx=tan^(-1)(e)-pi/(4)

int_(1)^(2)(1/(x)-(1)/(2x^(2)))e^(2x)dx

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

Evaluate: int_(0)^(1)e^(-2x)(1+x-2x^(3)) dx.

Evaluate int_(0)^(1)e^(2-3x)dx

Evaluate : int_(0)^(1)x(1-x)^(n)dx .