Home
Class 12
MATHS
(x+3) sqrt(3-4x-x^(2))...

`(x+3) sqrt(3-4x-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(3)(3-4x-x^(2))^((3)/(2))+(x+2)/(2) sqrt(3-4x-x^(2))+(7)/(2)sin^(-1)((x+2)/(sqrt(7)))+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise EXERCISE 7.8|7 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise EXERCISE 7.9|22 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise EXERCISE 7.6|24 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

Integrate the following function : int(x+3)/(sqrt(5-4x+x^(2)))

Integrate the function (x+2)/(sqrt(4x-x^(2)))

Find all the solution of x,y in the equation 4(3sqrt(4x-x^(2))sin^(2)""((x+y)/(2))+2cos(x+y))=13+4 cos^(2)(x+y)

(x+1) sqrt(2x^(2)+3)

Prove that, (d)/(dx) ["log" (x^(2) + x + 1)/(x^(2) -x + 1) + (2)/(sqrt3) "tan"^(-1) (sqrt3x)/(1-x^(2))]= (4)/(x^(4 ) + x^(2) + 1)

Find the roots of the following qudratic equations by factorisation: (1) 3x^(2)-13x-30=0 (2) x^(2)-(3)/(2)x+(9)/(16)=0 (3) x^(2)-4sqrt(3x)-15=0 (3) sqrt(3x^(2))-7x-6sqrt(3)=0

int(x^(3))/(sqrt(1+x^(2)))dx=a(1+x^(2))^((3)/(2))+b* sqrt(1+x^(2))+C

Integrate the following functions : int(4x+3)/(sqrt(2x^(2)+3x+1))dx

Prove that the following equations has no solutions. (i) sqrt((2x+7))+sqrt((x+4))=0 (ii) sqrt((x-4))=-5 (iii) sqrt((6-x))-sqrt((x-8))=2 (iv) sqrt(-2-x)=root(5)((x-7)) (v) sqrt(x)+sqrt((x+16))=3 (vi) 7sqrt(x)+8sqrt(-x)+15/(x^(3))=98 (vii) sqrt((x-3))-sqrt(x+9)=sqrt((x-1))