Home
Class 12
MATHS
Evaluate the following definite integral...

Evaluate the following definite integrals as limit of sums.
`int_(a)^(b)xdx`

Text Solution

Verified by Experts

The correct Answer is:
`1/2(b^(2)-a^(2))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.9|22 Videos
  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.10|10 Videos
  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.7|2 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following definite integrals as limit of sums. int_(0)^(5)(x+1)dx

Evaluate the following definite integrals as limit of sums. int_(2)^(3)x^(2)dx

Evaluate the following definite integrals as limit of sums. int_(1)^(4)(x^(2)-x)dx

Evaluate the following definite integrals as limit of sums. int_(-1)^(1)e^(x)dx

Evaluate the following define integrals as limit of sums : int_(0)^(2) e^(x)dx

Evaluate the following define integrals as limit of sums : int_(0)^(1) (x-x^(2))dx

Evaluate the following define integrals as limit of sums : int_(0)^(4) x^(2)dx

Evaluate the following define integrals as limit of sums : int_(0)^(2)(x^(2)+1)dx

Evaluate the following define integrals as limit of sums : int_(0)^(4) (x +e^(2x))dx

Evaluate the following define integrals as limit of sums : lim_( n rarr oo) [ (n!)/(n^(n))]^(1/n)