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
उत्तर
True
संबंधित प्रश्न
Evaluate :
`int(sqrt(cotx)+sqrt(tanx))dx`
Integrate the functions:
tan2(2x – 3)
Integrate the functions:
`sqrt(sin 2x) cos 2x`
Write a value of
Write a value of\[\int\frac{\sin x}{\cos^3 x} \text{ dx }\]
Write a value of\[\int\frac{1}{x \left( \log x \right)^n} \text { dx }\].
Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`
Integrate the following functions w.r.t. x : sin4x.cos3x
Integrate the following functions w.r.t. x : `(3e^(2x) + 5)/(4e^(2x) - 5)`
Evaluate the following : `int (1)/sqrt(3x^2 + 5x + 7).dx`
Evaluate the following:
`int (1)/sqrt((x - 3)(x + 2)).dx`
Evaluate the following : `int (1)/(4 + 3cos^2x).dx`
Evaluate the following : `int (1)/(cos2x + 3sin^2x).dx`
Evaluate `int 1/("x" ("x" - 1))` dx
Evaluate the following.
`int "x" sqrt(1 + "x"^2)` dx
Evaluate the following.
`int ((3"e")^"2t" + 5)/(4"e"^"2t" - 5)`dt
Evaluate the following.
`int 1/(4"x"^2 - 20"x" + 17)` dx
`int sqrt(1 + "x"^2) "dx"` =
Evaluate: `int "e"^"x" (1 + "x")/(2 + "x")^2` dx
`int (sin4x)/(cos 2x) "d"x`
if `f(x) = 4x^3 - 3x^2 + 2x +k, f (0) = - 1 and f (1) = 4, "find " f(x)`
Evaluate the following.
`int 1/(x^2 + 4x - 5) dx`
Evaluate the following.
`int x^3/(sqrt(1 + x^4))dx`
Evaluate `int (1)/(x(x - 1))dx`
Evaluate the following.
`int(1)/(x^2 + 4x - 5)dx`
Evaluate the following.
`intxsqrt(1+x^2)dx`
Evaluate the following.
`int x^3/sqrt(1+x^4) dx`
If f '(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Evaluate `int 1/(x(x-1)) dx`
Evaluate the following.
`int1/(x^2 + 4x - 5)dx`