हिंदी

∫cot2x dx

Advertisements
Advertisements

प्रश्न

`int cot^2x  "d"x`

योग
Advertisements

उत्तर

`int cot^2x  "d"x = int("cosec"^2x - 1)  "d"x`

= −cot x − x + c

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.3: Indefinite Integration - Very Short Answers

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Evaluate : `int_0^pi(x)/(a^2cos^2x+b^2sin^2x)dx`


Evaluate :`intxlogxdx`


Prove that `int_a^bf(x)dx=f(a+b-x)dx.` Hence evaluate : `int_a^bf(x)/(f(x)+f(a-b-x))dx`


Evaluate : `int(x-3)sqrt(x^2+3x-18)  dx`


Find `int((3sintheta-2)costheta)/(5-cos^2theta-4sin theta)d theta`.


Integrate the functions:

`(2x)/(1 + x^2)`


Integrate the functions:

`x/(9 - 4x^2)`


Integrate the functions:

`1/(cos^2 x(1-tan x)^2`


Integrate the functions:

`((x+1)(x + logx)^2)/x`


`(10x^9 + 10^x log_e 10)/(x^10 + 10^x)  dx` equals:


\[\int\sqrt{3 + 2x - x^2} \text{ dx}\]

Write a value of\[\int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) dx\] .


Write a value of\[\int\sqrt{4 - x^2} \text{ dx }\]


Evaluate the following integrals : `int tanx/(sec x + tan x)dx`


Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`


Evaluate the following integrals : `intsqrt(1 + sin 5x).dx`


If `f'(x) = x - (3)/x^3, f(1) = (11)/(2)`, find f(x)


Integrate the following functions w.r.t. x : `((sin^-1 x)^(3/2))/(sqrt(1 - x^2)`


Integrate the following functions w.r.t. x : `(x^2 + 2)/((x^2 + 1)).a^(x + tan^-1x)`


Integrate the following functions w.r.t. x : `(3e^(2x) + 5)/(4e^(2x) - 5)`


Integrate the following functions w.r.t. x : sin5x.cos8x


Evaluate the following : `int (1)/(1 + x - x^2).dx`


Evaluate the following integrals:

`int (2x + 1)/(x^2 + 4x - 5).dx`


Evaluate the following integrals :  `int (3x + 4)/sqrt(2x^2 + 2x + 1).dx`


Evaluate the following integrals : `int sqrt((x - 7)/(x - 9)).dx`


Evaluate the following integral:

`int (3cosx)/(4sin^2x + 4sinx - 1).dx`


Choose the correct option from the given alternatives : 

`int (1 + x + sqrt(x + x^2))/(sqrt(x) + sqrt(1 + x))*dx` =


If f'(x) = x2 + 5 and f(0) = −1, then find the value of f(x).


Evaluate the following.

`int "x" sqrt(1 + "x"^2)` dx


Evaluate `int 1/((2"x" + 3))` dx


Evaluate: ∫ |x| dx if x < 0


`int (7x + 9)^13  "d"x` ______ + c


`int x^3"e"^(x^2) "d"x`


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 ______.


The integral `int ((1 - 1/sqrt(3))(cosx - sinx))/((1 + 2/sqrt(3) sin2x))dx` is equal to ______.


`int sqrt(x^2 - a^2)/x dx` = ______.


The value of `sqrt(2) int (sinx  dx)/(sin(x - π/4))` is ______.


`int x/sqrt(1 - 2x^4) dx` = ______.

(where c is a constant of integration)


Evaluate `int(1 + x + x^2/(2!) )dx`


Evaluated 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"`


Solve the following Evaluate.

`int(5x^2 - 6x + 3)/(2x - 3)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.

`int (x^3)/(sqrt(1 + x^4)) dx`


Evaluate `int 1/(x(x-1))dx`


Evaluate `int 1/(x(x-1)) dx`


Evaluate the following.

`int1/(x^2 + 4x - 5)dx`


If f'(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x). 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×