Home
Class 12
MATHS
Find int x sqrt(1+x-x^(2))dx as the limi...

Find `int x sqrt(1+x-x^(2))dx` as the limit of sum.

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(3)(1+x-x^(2))^((3)/(2))+(1)/(8)(2x-1) sqrt(1+x-x^(2))+(5)/(16)"sin"^(-1)((2x-1)/(sqrt(5)))+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Short Answer Type Questions)|33 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Long Answer Type Questions)|13 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-7|44 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

int sqrt(1+x^(2))dx=...

int sqrt(1+x^(2))dx=....

Find int_(0)^(2)(x^(2)+1)dx as the limit of a sum.

Evaluate int_(1)^(3)(x^(2)+x)dx as the limite of a sum.

Answer the following questions. Find overset(4)underset(0)int(x+e^(2x)) dx as the limit of the sum.

Evaluate int_(0)^(2)e^(x)dx as the limit of a sum.

Evaluate int_(0)^(1) e^(x) dx as the limit of sum.

int (dx)/(sqrt(1-x))=..

Find int(xsin^(-1)x)/(sqrt(1-x^(2)))dx