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 : `int1/(x(3+logx))dx`
Find the volume of the solid generated by the complete revolution of the ellipse `"x"^2/36 + "y"^2/25 = 1` about Y-axis.
Evaluate : `int _0^1 ("x" . ("sin"^-1 "x")^2)/sqrt (1 - "x"^2)` dx
Integrate the following functions with respect to x :
sin2 5x
Integrate the following functions with respect to x :
`(3x + 4) sqrt(3x + 7)`
Integrate the following with respect to x :
`(10x^9 + 10^x log_"e" 10)/(10^x + x^10)`
Integrate the following with respect to x :
sin5x cos3x
Integrate the following with respect to x :
`cosx/(cos(x - "a"))`
Integrate the following with respect to x:
9xe3x
Integrate the following with respect to x:
27x2e3x
Find the integrals of the following:
`1/(6x - 7 - x^2)`
Integrate the following with respect to x:
`(5x - 2)/(2 + 2x + x^2)`
Integrate the following with respect to x:
`(3x + 1)/(2x^2 - 2x + 3)`
Integrate the following with respect to x:
`(2x + 1)/sqrt(9 + 4x - x^2)`
Integrate the following with respect to x:
`(x + 2)/sqrt(x^2 - 1)`
Choose the correct alternative:
`int sqrt(tanx)/(sin2x) "d"x` is
Choose the correct alternative:
`int sin^2x "d"x` is
Choose the correct alternative:
`int 2^(3x + 5) "d"x` is
Choose the correct alternative:
`int (sec^2x)/(tan^2 x - 1) "d"x`
Choose the correct alternative:
`int x^2 "e"^(x/2) "d"x` is
