हिंदी

Choose the correct options from the given alternatives : ∫[sin(logx)+cos(logx)]⋅dx =

Advertisements
Advertisements

प्रश्न

Choose the correct options from the given alternatives :

`int [sin (log x) + cos (log x)]*dx` =

विकल्प

  • x cos (log x) + c

  • sin (log x) + c

  • cos (log x) + c

  • x sin (log x) + c

MCQ
Advertisements

उत्तर

x sin (log x) + c

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Indefinite Integration - Miscellaneous Exercise 3 [पृष्ठ १५०]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.18 | पृष्ठ १५०

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Integrate : sec3 x w. r. t. x.


If u and v are two functions of x then prove that

`intuvdx=uintvdx-int[du/dxintvdx]dx`

Hence evaluate, `int xe^xdx`


Integrate the function in x log x.


Integrate the function in x log 2x.


Integrate the function in x (log x)2.


Integrate the function in `((x- 3)e^x)/(x - 1)^3`.


`int e^x sec x (1 +   tan x) dx` equals:


Find : 

`∫(log x)^2 dx`


Evaluate the following:

`int x^2 sin 3x  dx`


Evaluate the following : `int x^3.logx.dx`


Integrate the following functions w.r.t. x : `x^2 .sqrt(a^2 - x^6)`


Integrate the following functions w.r.t. x : `sqrt(4^x(4^x + 4))`


Integrate the following functions w.r.t. x : `xsqrt(5 - 4x - x^2)`


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


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

`e^(5x).[(5x.logx + 1)/x]`


Choose the correct options from the given alternatives :

`int (1)/(x + x^5)*dx` = f(x) + c, then `int x^4/(x + x^5)*dx` =


If f(x) = `sin^-1x/sqrt(1 - x^2), "g"(x) = e^(sin^-1x)`, then `int f(x)*"g"(x)*dx` = ______.


Choose the correct options from the given alternatives :

`int sin (log x)*dx` =


Integrate the following w.r.t.x : log (log x)+(log x)–2 


Integrate the following w.r.t.x : e2x sin x cos x


Evaluate the following.

`int "e"^"x" "x"/("x + 1")^2` dx


Evaluate the following.

`int "e"^"x" [(log "x")^2 + (2 log "x")/"x"]` dx


Choose the correct alternative from the following.

`int (("e"^"2x" + "e"^"-2x")/"e"^"x") "dx"` = 


Choose the correct alternative from the following.

`int (1 - "x")^(-2) "dx"` = 


Evaluate: Find the primitive of `1/(1 + "e"^"x")`


`int 1/x  "d"x` = ______ + c


Evaluate `int 1/(4x^2 - 1)  "d"x`


`int_0^1 x tan^-1 x  dx` = ______.


Find `int (sin^-1x)/(1 - x^2)^(3//2) dx`.


Evaluate :

`int(4x - 6)/(x^2 - 3x + 5)^(3/2)  dx`


`int(1-x)^-2 dx` = ______


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


Evaluate:

`inte^x sinx  dx`


Evaluate:

`int (logx)^2 dx`


Evaluate:

`int (sin(x - a))/(sin(x + a))dx`


Evaluate the following:

`intx^3e^(x^2)dx` 


Evaluate the following.

`intx^3 e^(x^2) dx`


Evaluate:

`int x^2 cos x  dx`


Evaluate the following.

`intx^2e^(4x)dx`


`∫ sin^(−1)` xdx is equal to ______.


If \(u\) and \(v\) are differentiable functions, which formula is used for integration by parts?


Which expression is the integration-by-parts form for a product \(f(x)g(x)\)?


Which pair is listed as Exponential in the LIATE rule?


For the special integral \[\int e^x\left[f(x)+f'(x)\right]dx,\] what is the antiderivative?


Repeated parts may be needed for which pair of integrals?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×