मराठी

Find the integrals of the function: sin−1 (cos x) - Mathematics

Advertisements
Advertisements

प्रश्न

Find the integrals of the function:

sin−1 (cos x)

बेरीज

उत्तर

Let `I - int sin^-1 (cos x) dx`

`int sin^-1 [sin (pi/2 - x)] dx`

`= int (pi/2 - x) dx`

`= pi/2 int dx - int x dx`

`= (pix)/2 - x^2/2 +C`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Integrals - Exercise 7.3 [पृष्ठ ३०७]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
पाठ 7 Integrals
Exercise 7.3 | Q 21 | पृष्ठ ३०७

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Evaluate : `intsin(x-a)/sin(x+a)dx`

 


Find the integrals of the function:

sin3 (2x + 1)


Find the integrals of the function:

sin x sin 2x sin 3x


Find the integrals of the function:

sin 4x sin 8x


Find the integrals of the function:

`cos x/(1 + cos x)`


Find the integrals of the function:

sin4 x


Find the integrals of the function:

cos4 2x


Find the integrals of the function:

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


Find the integrals of the function:

`(cos 2x - cos 2 alpha)/(cos x - cos alpha)`


Find the integrals of the function:

`(cos x -  sinx)/(1+sin 2x)`


Find the integrals of the function:

`(sin^3 x + cos^3 x)/(sin^2x cos^2 x)`


`int (sin^2x - cos^2 x)/(sin^2 x cos^2 x) dx` is equal to ______.


`int (e^x(1 +x))/cos^2(e^x x) dx` equals ______.


Find `int((3 sin x - 2) cos x)/(13 - cos^2 x- 7 sin x) dx`


Differentiate : \[\tan^{- 1} \left( \frac{1 + \cos x}{\sin x} \right)\] with respect to x .


Evaluate : \[\int\limits_0^\pi \frac{x \tan x}{\sec x \cdot cosec x}dx\] .


Find: `int_  (cos"x")/((1 + sin "x") (2+ sin"x")) "dx"`


Find:
`int"dx"/sqrt(5-4"x" - 2"x"^2)`


Find: `int sec^2 x /sqrt(tan^2 x+4) dx.`


Find: `intsqrt(1 - sin 2x) dx, pi/4 < x < pi/2`


Find: `int sin^-1 (2x) dx.`


Evaluate `int tan^8 x sec^4 x"d"x`


Evaluate the following:

`int ("d"x)/(1 + cos x)`


Evaluate the following:

`int tan^2x sec^4 x"d"x`


Evaluate the following:

`int (sinx + cosx)/sqrt(1 + sin 2x) "d"x`


Evaluate the following:

`int (cosx - cos2x)/(1 - cosx) "d"x`


Evaluate the following:

`int "e"^(tan^-1x) ((1 + x + x^2)/(1 + x^2)) "d"x`


Evaluate the following:

`int sin^-1 sqrt(x/("a" + x)) "d"x`  (Hint: Put x = a tan2θ)


`int sinx/(3 + 4cos^2x) "d"x` = ______.


The value of the integral `int_(1/3)^1 (x - x^3)^(1/3)/x^4  dx` is


`int (cos^2x)/(sin x + cos x)^2  dx` is equal to


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×