Advertisements
Advertisements
प्रश्न
Evaluate `int 1/((2"x" + 3))` dx
Advertisements
उत्तर
Let I = `int 1/(2"x" + 3)` dx
∴ I = `(log |"2x" + 3|)/2` + c
APPEARS IN
संबंधित प्रश्न
Find : `int((2x-5)e^(2x))/(2x-3)^3dx`
Evaluate : `∫1/(cos^4x+sin^4x)dx`
Integrate the functions:
`1/(x-sqrtx)`
Evaluate : `∫1/(3+2sinx+cosx)dx`
Evaluate: `int 1/(x(x-1)) dx`
Evaluate `int (x-1)/(sqrt(x^2 - x)) dx`
Evaluate the following integrals : `int (3)/(sqrt(7x - 2) - sqrt(7x - 5)).dx`
Integrate the following function w.r.t. x:
`(10x^9 +10^x.log10)/(10^x + x^10)`
Integrate the following functions w.r.t. x : `(1)/(2 + 3tanx)`
Integrate the following functions w.r.t. x : `int (1)/(4 - 5cosx).dx`
Evaluate the following integrals : `int (2x + 3)/(2x^2 + 3x - 1).dx`
Evaluate the following integrals : `int sqrt((9 - x)/x).dx`
Evaluate `int (3"x"^3 - 2sqrt"x")/"x"` dx
Evaluate the following.
`int x/(4x^4 - 20x^2 - 3) dx`
Evaluate `int"e"^x (1/x - 1/x^2) "d"x`
`int (x^2 + 1)/(x^4 - x^2 + 1)`dx = ?
`int ((x + 1)(x + log x))^4/(3x) "dx" =`______.
`int[ tan (log x) + sec^2 (log x)] dx= ` ______
`int sec^6 x tan x "d"x` = ______.
`int ("d"x)/(x(x^4 + 1))` = ______.
The value of `sqrt(2) int (sinx dx)/(sin(x - π/4))` is ______.
`int cos^3x dx` = ______.
Evaluate `int 1/("x"("x" - 1)) "dx"`
`int dx/((x+2)(x^2 + 1))` ...(given)
`1/(x^2 +1) dx = tan ^-1 + c`
Evaluate the following.
`int x^3 e^(x^2) dx`
Evaluate the following.
`int x^3/sqrt(1+x^4) dx`
Evaluate the following:
`int (1) / (x^2 + 4x - 5) dx`
Evaluate the following:
`int x^3/(sqrt(1+x^4))dx`
If \[x=g(t)\] and \[dx=g'(t)dt\], which formula represents integration by substitution?
