फलनों का x के सापेक्ष समाकलन कीजिए -
`(2-3x)sqrt(4+8x-5x^(2))`

Answer

`(1)/(5)(4+8x-5x^(2))^(3//2)-(1)/(sqrt5)[((5x-4)/(5))sqrt(((4)/(5)+(8)/(5)x-x^(2)))+(36)/(25)sin^(-1)((5x-4)/(6))]`

Explanation

`int(2-3x)sqrt(4+8x-5x^(2)).dx`
`int[(3)/(10)(8-10x)-(2)/(5)]sqrt(4++8x-5^(2)).dx`
`=(3)/(10)int(8-10x)sqrt(4+8x-5x^(2)).dx-(2)/(5)intsqrt(4+8x-5x^(2)).dx`