Advertisements
Advertisements
प्रश्न
State whether the following statement is True or False:
If `int x "f"(x) "d"x = ("f"(x))/2`, then f(x) = `"e"^(x^2)`
विकल्प
True
False
Advertisements
उत्तर
True
संबंधित प्रश्न
Evaluate :
`∫(x+2)/sqrt(x^2+5x+6)dx`
Integrate the functions:
`(log x)^2/x`
Integrate the functions:
`(2cosx - 3sinx)/(6cos x + 4 sin x)`
Write a value of
Write a value of\[\int\frac{\left( \tan^{- 1} x \right)^3}{1 + x^2} dx\]
Write a value of\[\int\frac{\sec^2 x}{\left( 5 + \tan x \right)^4} dx\]
Write a value of\[\int e^{ax} \sin\ bx\ dx\]
Integrate the following functions w.r.t. x : `sqrt(tanx)/(sinx.cosx)`
Evaluate the following : `int (1)/sqrt(3x^2 - 8).dx`
Evaluate the following : `int sqrt((10 + x)/(10 - x)).dx`
Evaluate the following integrals : `int sqrt((9 - x)/x).dx`
Evaluate: `int 1/(2"x" + 3"x" log"x")` dx
Evaluate: `int "e"^"x" (1 + "x")/(2 + "x")^2` dx
Evaluate: `int "x" * "e"^"2x"` dx
Evaluate: `int log ("x"^2 + "x")` dx
`int 1/sqrt((x - 3)(x + 2))` dx = ______.
`int sqrt(1 + sin2x) dx`
`int x/(x + 2) "d"x`
Evaluate `int (1+x+x^2/(2!))dx`
If f′(x) = 4x3 − 3x2 + 2x + k, f(0) = -1 and f(1) = 4, find f(x)
Evaluate:
`int sin^2(x/2)dx`
Evaluate:
`int sin^3x cos^3x dx`
Evaluate the following
`int x^3 e^(x^2) ` dx
If f '(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
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`
In \[\int\sin^3x\cos^2x\,dx\], which rewriting prepares the integrand for the substitution \[t=\cos x\]?
For \[t=\cos x\], what is \[dt\]?
After putting \[t=\cos x\], which integral is obtained from \[\int\sin^2x\cos^2x(\sin x)\,dx\]?
