Advertisements
Advertisements
प्रश्न
Evaluate `int (1 + x + x^2/(2!))`dx
Advertisements
उत्तर
`int (1 + x + x^2/(2!))`dx
`= int 1 dx + int x dx + 1/(2!) int x^2 dx`
`= x + x^2/2 + 1/(2!) xx x^3/3 + c`
∴ `x + x^2/2 + x^3/6 + c`
APPEARS IN
संबंधित प्रश्न
Evaluate :`intxlogxdx`
Find `intsqrtx/sqrt(a^3-x^3)dx`
Evaluate :
`∫(x+2)/sqrt(x^2+5x+6)dx`
Integrate the functions:
`xsqrt(1+ 2x^2)`
Integrate the functions:
`(x^3 - 1)^(1/3) x^5`
Integrate the functions:
`x/(9 - 4x^2)`
Integrate the functions:
`(e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))`
Integrate the functions:
`sin x/(1+ cos x)`
Integrate the functions:
`sqrt(tanx)/(sinxcos x)`
Evaluate : `∫1/(3+2sinx+cosx)dx`
Evaluate: `int (2y^2)/(y^2 + 4)dx`
Write a value of\[\int\frac{\sin x - \cos x}{\sqrt{1 + \sin 2x}} \text{ dx}\]
Find : ` int (sin 2x ) /((sin^2 x + 1) ( sin^2 x + 3 ) ) dx`
Integrate the following functions w.r.t. x : `(logx)^n/x`
Integrate the following functions w.r.t. x : tan5x
Evaluate the following : `int sqrt((2 + x)/(2 - x)).dx`
Integrate the following functions w.r.t. x : `int (1)/(2sin 2x - 3)dx`
Evaluate the following integrals : `int sqrt((e^(3x) - e^(2x))/(e^x + 1)).dx`
Evaluate the following.
`int (2"e"^"x" + 5)/(2"e"^"x" + 1)`dx
Evaluate the following.
`int 1/(4x^2 - 20x + 17)` dx
Evaluate the following.
`int 1/(sqrt(3"x"^2 - 5))` dx
Choose the correct alternative from the following.
The value of `int "dx"/sqrt"1 - x"` is
`int sqrt(x^2 + 2x + 5)` dx = ______________
`int (sin4x)/(cos 2x) "d"x`
`int ((x + 1)(x + log x))^4/(3x) "dx" =`______.
If I = `int (sin2x)/(3x + 4cosx)^3 "d"x`, then I is equal to ______.
`int sqrt(x^2 - a^2)/x dx` = ______.
