Advertisements
Advertisements
प्रश्न
`int (f^'(x))/(f(x))dx` = ______ + c.
Advertisements
उत्तर
`int (f^'(x))/(f(x))dx` = log f(x) + c.
APPEARS IN
संबंधित प्रश्न
Show that: `int1/(x^2sqrt(a^2+x^2))dx=-1/a^2(sqrt(a^2+x^2)/x)+c`
Evaluate : `int(x-3)sqrt(x^2+3x-18) dx`
Integrate the functions:
`xsqrt(1+ 2x^2)`
Integrate the functions:
`cos sqrt(x)/sqrtx`
Integrate the functions:
cot x log sin x
Write a value of
Evaluate : `int ("e"^"x" (1 + "x"))/("cos"^2("x""e"^"x"))"dx"`
Prove that: `int "dx"/(sqrt("x"^2 +"a"^2)) = log |"x" +sqrt("x"^2 +"a"^2) | + "c"`
Integrate the following functions w.r.t. x:
`x^5sqrt(a^2 + x^2)`
Integrate the following functions w.r.t. x : `x^2/sqrt(9 - x^6)`
Evaluate the following : `int sqrt((2 + x)/(2 - x)).dx`
Evaluate the following integrals : `int (3x + 4)/(x^2 + 6x + 5).dx`
Evaluate the following.
`int 1/(4x^2 - 20x + 17)` dx
Evaluate:
`int (5x^2 - 6x + 3)/(2x − 3)` dx
Evaluate: `int "e"^sqrt"x"` dx
`int cos^7 x "d"x`
`int(1 - x)^(-2) dx` = ______.
`int dx/(1 + e^-x)` = ______
`int "e"^(sin^-1 x) ((x + sqrt(1 - x^2))/(sqrt1 - x^2)) "dx" = ?`
The value of `int (sinx + cosx)/sqrt(1 - sin2x) dx` is equal to ______.
Evaluate the following.
`int x^3/(sqrt(1 + x^4))dx`
Evaluate the following.
`int(1)/(x^2 + 4x - 5)dx`
`int x^2/sqrt(1 - x^6)dx` = ______.
Evaluate the following.
`int x^3/sqrt(1+x^4) dx`
Evaluate `int(1+x+x^2/(2!))dx`
Evaluate `int 1/(x(x-1))dx`
Evaluate the following.
`int 1/ (x^2 + 4x - 5) dx`
If f'(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
