Advertisements
Advertisements
प्रश्न
Choose the correct alternative from the following.
The value of `int "dx"/sqrt"1 - x"` is
पर्याय
`2sqrt(1 - "x") + "c"`
- `2sqrt(1 - "x") + "c"`
`sqrt"x"` + c
x + c
Advertisements
उत्तर
- `2sqrt(1 - "x") + "c"`
APPEARS IN
संबंधित प्रश्न
Integrate the functions:
`(log x)^2/x`
Integrate the functions:
`xsqrt(x + 2)`
Integrate the functions:
`x/(9 - 4x^2)`
Integrate the functions:
`((x+1)(x + logx)^2)/x`
Write a value of\[\int \cos^4 x \text{ sin x dx }\]
Write a value of\[\int\frac{\sec^2 x}{\left( 5 + \tan x \right)^4} dx\]
Write a value of\[\int\frac{\sin x}{\cos^3 x} \text{ dx }\]
Show that : `int _0^(pi/4) "log" (1+"tan""x")"dx" = pi /8 "log"2`
Find : ` int (sin 2x ) /((sin^2 x + 1) ( sin^2 x + 3 ) ) dx`
Evaluate the following integrals : `int sinx/(1 + sinx)dx`
Integrate the following functions w.r.t. x : `e^(3x)/(e^(3x) + 1)`
Integrate the following functions w.r.t.x:
`(2sinx cosx)/(3cos^2x + 4sin^2 x)`
Integrate the following functions w.r.t. x:
`(sinx cos^3x)/(1 + cos^2x)`
Evaluate the following : `int (1)/sqrt(3x^2 - 8).dx`
Evaluate the following.
`int 1/(sqrt"x" + "x")` dx
Evaluate the following.
`int 1/(sqrt("x"^2 + 4"x"+ 29))` dx
Evaluate the following.
`int 1/(sqrt("x"^2 -8"x" - 20))` dx
Choose the correct alternative from the following.
`int "x"^2 (3)^("x"^3) "dx"` =
State whether the following statement is True or False.
If ∫ x f(x) dx = `("f"("x"))/2`, then find f(x) = `"e"^("x"^2)`
Evaluate: ∫ |x| dx if x < 0
State whether the following statement is True or False:
`int sqrt(1 + x^2) *x "d"x = 1/3(1 + x^2)^(3/2) + "c"`
Evaluate `int"e"^x (1/x - 1/x^2) "d"x`
`int "e"^(sin^-1 x) ((x + sqrt(1 - x^2))/(sqrt1 - x^2)) "dx" = ?`
`int(3x + 1)/(2x^2 - 2x + 3)dx` equals ______.
Evaluate the following.
`int x sqrt(1 + x^2) dx`
Evaluate:
`int sin^2(x/2)dx`
`int (cos4x)/(sin2x + cos2x)dx` = ______.
Evaluate:
`intsqrt(sec x/2 - 1)dx`
