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_0^1 "x" . "tan"^-1 "x" "dx"`
Evaluate:`int(tansqrtx)/sqrtxdx`
Integrate the following functions with respect to x :
`(cos 2x)/(sin^2x cos^2x)`
Integrate the following functions with respect to x :
`(8^(1 + x) + 4^(1 - x))/2^x`
Integrate the following functions with respect to x :
`1/(sqrt(x + 3) - sqrt(x - 4))`
Integrate the following functions with respect to x :
`(x + 1)/((x + 2)(x + 3))`
Integrate the following functions with respect to x :
`x^3/((x - 1)(x - 2))`
Integrate the following with respect to x :
`x/sqrt(1 + x^2)`
Integrate the following with respect to x :
`(sin^-1 x)/sqrt(1 - x^2)`
Integrate the following with respect to x :
`sqrt(x)/(1 + sqrt(x))`
Integrate the following with respect to x :
sin5x cos3x
Integrate the following with respect to x:
x2 cos x
Integrate the following functions with respect to x:
`sqrt(x^2 + 2x + 10)`
Integrate the following functions with respect to x:
`sqrt(x^2 - 2x - 3)`
Choose the correct alternative:
`int sin^2x "d"x` is
Choose the correct alternative:
`int ("e"^(6 log x) - "e"^(5logx))/("e"^(4logx) - "e"^(3logx)) "d"x` is
Choose the correct alternative:
`int sqrt((1 - x)/(1 + x)) "d"x` is
Choose the correct alternative:
`int ("d"x)/("e"^x - 1)` is
Choose the correct alternative:
`int "e"^(- 4x) cos "d"x` is
Choose the correct alternative:
`int "e"^(- 7x) sin 5x "d"x` is
