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 :`intxlogxdx`
Integrate the functions:
`1/(x-sqrtx)`
Evaluate : `∫1/(3+2sinx+cosx)dx`
Write a value of
Write a value of\[\int\frac{1}{1 + 2 e^x} \text{ dx }\].
Write a value of\[\int\frac{\sin x + \cos x}{\sqrt{1 + \sin 2x}} dx\]
Evaluate the following integrals: `int(x - 2)/sqrt(x + 5).dx`
Integrate the following functions w.r.t. x : `(x.sec^2(x^2))/sqrt(tan^3(x^2)`
Evaluate the following : `int (1)/(x^2 + 8x + 12).dx`
Evaluate the following.
`int 1/(7 + 6"x" - "x"^2)` dx
Choose the correct alternative from the following.
`int "dx"/(("x" - "x"^2))`=
`int ("e"^(3x))/("e"^(3x) + 1) "d"x`
To find the value of `int ((1 + logx))/x` dx the proper substitution is ______
`int(sin2x)/(5sin^2x+3cos^2x) dx=` ______.
`int sec^6 x tan x "d"x` = ______.
`int sqrt(x^2 - a^2)/x dx` = ______.
Evaluate.
`int(5"x"^2 - 6"x" + 3)/(2"x" - 3) "dx"`
Evaluate the following.
`intxsqrt(1+x^2)dx`
Evaluate `int (1 + x + x^2/(2!)) dx`
Evaluate `int(1+x+x^2/(2!))dx`
Evaluate `int(1+x+x^2/(2!))dx`
Evaluate the following.
`intx^3/sqrt(1+x^4)dx`
Evaluate the following.
`int "x"^3/sqrt(1 + "x"^4)` dx
Evaluate the following.
`int 1/ (x^2 + 4x - 5) dx`
Evaluate `int(1 + x + x^2 / (2!))dx`
Evaluate `int 1/(x(x-1)) dx`
