Home
Class 12
MATHS
int- 5^5|x+2|dx...

`int_- 5^5|x+2|dx`

Text Solution

Verified by Experts

`"Let "I= int_(-5)^(5) |x+2|dx`
`:. I=int_(-5)^(-2) -(x +2)dx +int_(-2)^(5) (x+2)dx`
`[ :' int_(a)^(b) f(x) dx= int_(a)^(c) f(x) dx+int_(c)^(b) f(x) dx]`
`I= -[(x^(2))/(2)+2x]_(0)^(-2) +[(x^(2))/(2)+2x]_(-2)^(5)`
`rArr=- [((-2)^(2))/(2)+2(-2)-((-5)^(2))/(2)-2(-5)]`
`+[((5)^(2))/(2)+2(5)-((-2)^(2))/(2)-2(-2)]`
`=-[2-4-(25)/(2)+10]+[(25)/(2)+10-2+4]`
`=29`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|44 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7.10|10 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(-5)^(5)|x+2|dx

int_(-5)^(5)|x+2|dx

By using the properties of definite integrals, evaluate the integrals int_(2)^(8)|x-5|dx and int_(-5)^(5)|x+2|dx

By using the properties of definite integrals, evaluate the integrals int_(-5)^(5)|x+2|dx

Evaluate: int_(0)^(1)|5x-3|dx( ii) int_(0)^( pi)|cos x|dx( iii) int_(-5)^(5)|x-2|dx( iv )int_(-1)^(1)e^(|x|)dx(v)int_(0)^(2)|x^(2)+2x-3|dx(v)int_(1)^(4)(|x-1|+|x-2|+|x-3|)dx( vi) int_(1)^(2)|x^(3)-x|dx

Evaluate int_(0)^(5)|x-2|dx

find the value of int_(-5)^(5)| x + 2 |dx

int_2^5 (x^2+x)dx

int _(-5) ^(5) (x )/(x ^(2) + 7) dx = 10 . True or False.