Advertisements
Advertisements
प्रश्न
`int cot^2x "d"x`
Advertisements
उत्तर
`int cot^2x "d"x = int("cosec"^2x - 1) "d"x`
= −cot x − x + c
APPEARS IN
संबंधित प्रश्न
Integrate the functions:
`xsqrt(1+ 2x^2)`
Integrate the functions:
tan2(2x – 3)
Integrate the functions:
`cos x /(sqrt(1+sinx))`
Integrate the functions:
`(1+ log x)^2/x`
Evaluate : `∫1/(3+2sinx+cosx)dx`
Write a value of
Write a value of\[\int \log_e x\ dx\].
Write a value of\[\int\frac{\sin x - \cos x}{\sqrt{1 + \sin 2x}} \text{ dx}\]
Write a value of\[\int\frac{1}{x \left( \log x \right)^n} \text { dx }\].
Write a value of\[\int e^{ax} \left\{ a f\left( x \right) + f'\left( x \right) \right\} dx\] .
The value of \[\int\frac{\cos \sqrt{x}}{\sqrt{x}} dx\] is
Evaluate the following integrals : `int (cos2x)/(sin^2x.cos^2x)dx`
Evaluate the following integrals : `intsqrt(1 - cos 2x)dx`
Evaluate the following integrals: `int(x - 2)/sqrt(x + 5).dx`
Integrate the following functions w.r.t. x : e3logx(x4 + 1)–1
Integrate the following function w.r.t. x:
`(10x^9 +10^x.log10)/(10^x + x^10)`
Integrate the following functions w.r.t. x : `x^2/sqrt(9 - x^6)`
Integrate the following functions w.r.t.x:
cos8xcotx
Integrate the following functions w.r.t. x:
`(sinx cos^3x)/(1 + cos^2x)`
Evaluate the following : `int (1)/(5 - 4x - 3x^2).dx`
Evaluate the following integrals:
`int (2x + 1)/(x^2 + 4x - 5).dx`
Evaluate the following integrals : `int sqrt((e^(3x) - e^(2x))/(e^x + 1)).dx`
Evaluate the following.
`int "x" sqrt(1 + "x"^2)` dx
Evaluate: `int 1/(sqrt("x") + "x")` dx
Evaluate: `int log ("x"^2 + "x")` dx
Evaluate: `int sqrt(x^2 - 8x + 7)` dx
`int cos sqrtx` dx = _____________
`int x^x (1 + logx) "d"x`
`int sqrt(x) sec(x)^(3/2) tan(x)^(3/2)"d"x`
To find the value of `int ((1 + logx))/x` dx the proper substitution is ______
`int (x^2 + 1)/(x^4 - x^2 + 1)`dx = ?
`int dx/(1 + e^-x)` = ______
`int(sin2x)/(5sin^2x+3cos^2x) dx=` ______.
`int(7x - 2)^2dx = (7x -2)^3/21 + c`
If `int sinx/(sin^3x + cos^3x)dx = α log_e |1 + tan x| + β log_e |1 - tan x + tan^2x| + γ tan^-1 ((2tanx - 1)/sqrt(3)) + C`, when C is constant of integration, then the value of 18(α + β + γ2) is ______.
`int (x + sinx)/(1 + cosx)dx` is equal to ______.
`int cos^3x dx` = ______.
Write `int cotx dx`.
If f′(x) = 4x3 − 3x2 + 2x + k, f(0) = -1 and f(1) = 4, find f(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 the following.
`intx sqrt(1 +x^2) dx`
Evaluate:
`int(cos 2x)/sinx dx`
Evaluate `int (1 + "x" + "x"^2/(2!))`dx
Evaluate.
`int (5x^2 -6x + 3)/(2x -3)dx`
Evaluate the following.
`intx^3/sqrt(1 + x^4) dx`
After choosing \[u=g(x)\], what is the next step?
What must be done before integrating after obtaining \[du\]?
In \[\int\sin^3x\cos^2x\,dx\], which rewriting prepares the integrand for the substitution \[t=\cos x\]?
