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
Evaluate :
`int(sqrt(cotx)+sqrt(tanx))dx`
Integrate the functions:
`x/(9 - 4x^2)`
Integrate the functions:
tan2(2x – 3)
Integrate the functions:
sec2(7 – 4x)
Integrate the functions:
`cos x /(sqrt(1+sinx))`
Integrate the functions:
`1/(1 - tan x)`
Evaluate: `int_0^3 f(x)dx` where f(x) = `{(cos 2x, 0<= x <= pi/2),(3, pi/2 <= x <= 3) :}`
Write a value of\[\int\text{ tan x }\sec^3 x\ dx\]
Write a value of
Write a value of\[\int\frac{\sin x - \cos x}{\sqrt{1 + \sin 2x}} \text{ dx}\]
Evaluate: \[\int\frac{x^3 - 1}{x^2} \text{ dx}\]
Evaluate the following integral:
`int (3cosx)/(4sin^2x + 4sinx - 1).dx`
Evaluate `int (3"x"^3 - 2sqrt"x")/"x"` dx
If f'(x) = 4x3 − 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Evaluate the following.
`int ("2x" + 6)/(sqrt("x"^2 + 6"x" + 3))` dx
Evaluate the following.
`int (2"e"^"x" + 5)/(2"e"^"x" + 1)`dx
Evaluate the following.
`int 1/(4x^2 - 20x + 17)` dx
`int (x^2 + x - 6)/((x - 2)(x - 1))dx = x` + ______ + c
`int 1/(cos x - sin x)` dx = _______________
`int x^2/sqrt(1 - x^6)` dx = ________________
`int (2(cos^2 x - sin^2 x))/(cos^2 x + sin^2 x)` dx = ______________
`int sqrt(("e"^(3x) - "e"^(2x))/("e"^x + 1)) "d"x`
`int (x^2 + 1)/(x^4 - x^2 + 1)`dx = ?
The general solution of the differential equation `(1 + y/x) + ("d"y)/(d"x)` = 0 is ______.
`int 1/(sinx.cos^2x)dx` = ______.
Evaluate the following.
`int(20 - 12"e"^"x")/(3"e"^"x" - 4) "dx"`
Evaluate the following.
`int(1)/(x^2 + 4x - 5)dx`
Evaluate:
`int(5x^2-6x+3)/(2x-3)dx`
