Advertisements
Advertisements
प्रश्न
Evaluate: ∫ |x| dx if x < 0
उत्तर
|x| = x; x ≥ 0
= x; x < 0
Let I = ∫ |x| dx, if x < 0
= ∫ - x dx
∴ I = `(- "x"^2)/2` + c
APPEARS IN
संबंधित प्रश्न
Integrate the functions:
(4x + 2) `sqrt(x^2 + x +1)`
Write a value of
Write a value of\[\int\frac{1}{1 + e^x} \text{ dx }\]
Evaluate the following integrals:
`int(2)/(sqrt(x) - sqrt(x + 3)).dx`
Integrate the following functions w.r.t. x : `e^x.log (sin e^x)/tan(e^x)`
Integrate the following functions w.r.t. x : `(1)/(2 + 3tanx)`
Evaluate the following : `int (1)/sqrt(2x^2 - 5).dx`
Evaluate the following : `int sinx/(sin 3x).dx`
Evaluate `int (3"x"^2 - 5)^2` dx
`int ("x + 2")/(2"x"^2 + 6"x" + 5)"dx" = "p" int (4"x" + 6)/(2"x"^2 + 6"x" + 5) "dx" + 1/2 int "dx"/(2"x"^2 + 6"x" + 5)`, then p = ?
State whether the following statement is True or False.
If `int x "e"^(2x)` dx is equal to `"e"^(2x)` f(x) + c, where c is constant of integration, then f(x) is `(2x - 1)/2`.
Evaluate: `int sqrt("x"^2 + 2"x" + 5)` dx
`int ("e"^(2x) + "e"^(-2x))/("e"^x) "d"x`
`int x^x (1 + logx) "d"x`
`int(3x + 1)/(2x^2 - 2x + 3)dx` equals ______.
`int (x + sinx)/(1 + cosx)dx` is equal to ______.
Evaluate the following.
`int(20 - 12"e"^"x")/(3"e"^"x" - 4) "dx"`
Evaluate the following.
`int x sqrt(1 + x^2) dx`
