Advertisements
Advertisements
प्रश्न
Integrate the following functions with respect to x :
(2x – 5)(3x + 4x)
Advertisements
उत्तर
`int (2x - 5)(3x + 4x) "d"x`
= `int (72x + 8x^2 - 180 - 20x) "d"x`
= `int 72x "d"x + int 82x^2 "d"x - int 180 "d"x - int 20x "d"x`
= `72intx "d"x + 8intx^2 "d"x - 180int "d"x - 20 intx "d"x`
= `72 xx x^2/2 + 8 x^3/3 - 180x - 20 xx x^2/2 + "c"`
= `36x^2 + 8/3 x^3 - 180x - 10x^2 + "c"`
= `26x^2 + 8/3 x^3 - 180x + "c"`
APPEARS IN
संबंधित प्रश्न
Evaluate : `int (1+logx)/(x(2+logx)(3+logx))dx`
Find the volume of solid generated by rotating the area bounded by x2+y2 =36 and the lines x = 0, x = 3 about X -axis.
Integrate the following functions with respect to x :
`(x^3 + 4x^2 - 3x + 2)/x^2`
Integrate the following functions with respect to x :
`[sqrt(x) + 1/sqrt(x)]^2`
Integrate the following functions with respect to x :
cot2x + tan2x
Integrate the following functions with respect to x :
cos 3x cos 2x
Integrate the following functions with respect to x :
`(1 + cos 4x)/(cos x - tan x)`
Integrate the following with respect to x :
`sqrt(x)/(1 + sqrt(x))`
Integrate the following with respect to x:
25xe–5x
Integrate the following with respect to x:
x log x
Integrate the following with respect to x:
x3 sin x
Integrate the following with respect to x:
`(x sin^-1 x)/sqrt(1 - x^2)`
Integrate the following with respect to x:
`tan^-1 ((8x)/(1 - 16x^2))`
Integrate the following with respect to x:
`"e"^("a"x) cos"b"x`
Integrate the following with respect to x:
`"e"^(-x) cos 2x`
Integrate the following with respect to x:
`"e"^(tan^-1 x) ((1 + x + x^2)/(1 + x^2))`
Integrate the following functions with respect to x:
`sqrt(x^2 - 2x - 3)`
Choose the correct alternative:
`int (sec^2x)/(tan^2 x - 1) "d"x`
Choose the correct alternative:
`int "e"^(sqrt(x)) "d"x` is
