मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct options from the given alternatives : 2∫cos2x-sin2xcos2x+sin2x⋅dx =

Advertisements
Advertisements

प्रश्न

Choose the correct options from the given alternatives :

`2 int (cos^2x - sin^2x)/(cos^2x + sin^2x)*dx` =

पर्याय

  • sin 2x + c

  • cos 2x + c

  • tan 2x + c

  • 2 sin 2x + c

MCQ
Advertisements

उत्तर

sin 2x + c

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १४९]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.15 | पृष्ठ १४९

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

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


Find `intsqrtx/sqrt(a^3-x^3)dx`


Integrate the functions:

`1/(x + x log x)`


Integrate the functions:

`xsqrt(1+ 2x^2)`


Integrate the functions:

`1/(x-sqrtx)`


Integrate the functions:

`x/(sqrt(x+ 4))`, x > 0 


Integrate the functions:

`e^(2x+3)`


Integrate the functions:

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


Integrate the functions:

`cos sqrt(x)/sqrtx`


Integrate the functions:

`sqrt(tanx)/(sinxcos x)`


Write a value of

\[\int\frac{1 + \cot x}{x + \log \sin x} \text{ dx }\]

Write a value of\[\int\frac{1}{1 + 2 e^x} \text{ dx }\].


Write a value of\[\int e^{ax} \sin\ bx\ dx\]


Evaluate the following integrals : `int sin x/cos^2x dx`


Evaluate the following integrals:

`int (cos2x)/sin^2x dx` 


Evaluate the following integrals:

`int (sin4x)/(cos2x).dx`


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.sec^2(x^2))/sqrt(tan^3(x^2)`


Integrate the following function w.r.t. x:

x9.sec2(x10)


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


Integrate the following functions w.r.t. x : `cosx/sin(x - a)`


Evaluate the following : `int (1)/sqrt(2x^2 - 5).dx`


Evaluate the following : `int (1)/sqrt(3x^2 + 5x + 7).dx`


Integrate the following functions w.r.t. x : `int (1)/(3 + 2 sin2x + 4cos 2x).dx`


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


Evaluate the following.

`int 1/(sqrt"x" + "x")` dx


Evaluate the following.

`int 1/("a"^2 - "b"^2 "x"^2)` dx


State whether the following statement is True or False.

The proper substitution for `int x(x^x)^x (2log x + 1)  "d"x` is `(x^x)^x` = t


`int cos sqrtx` dx = _____________


`int (log x)/(log ex)^2` dx = _________


`int (sin4x)/(cos 2x) "d"x`


`int ("e"^(3x))/("e"^(3x) + 1)  "d"x`


`int (1 + x)/(x + "e"^(-x))  "d"x`


`int1/(4 + 3cos^2x)dx` = ______ 


If f'(x) = `x + 1/x`, then f(x) is ______.


If `int(cosx - sinx)/sqrt(8 - sin2x)dx = asin^-1((sinx + cosx)/b) + c`. where c is a constant of integration, then the ordered pair (a, b) is equal to ______.


`int (x + sinx)/(1 + cosx)dx` is equal to ______.


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

(where c is a constant of integration)


Write `int cotx  dx`.


Find `int dx/sqrt(sin^3x cos(x - α))`.


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:

`intsqrt(3 + 4x - 4x^2)  dx`


Evaluate:

`int sin^3x cos^3x  dx`


Evaluate the following.

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


Evaluate the following.

`intx^3/sqrt(1+x^4)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×