हिंदी

∫cosx dx = _____________

Advertisements
Advertisements

प्रश्न

`int cos sqrtx` dx = _____________

विकल्प

  • `2 [sqrtx sin sqrtx + cos sqrtx] + "c"`

  • `sqrtx sin sqrtx + cos sqrtx + "c"`

  • `2 [sqrtx cos sqrtx + sin sqrtx] + "c"`

  • `1/2 [sqrtx sin sqrtx - cos sqrtx] + "c"`

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

`2 [sqrtx sin sqrtx + cos sqrtx] + "c"`

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

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find `intsqrtx/sqrt(a^3-x^3)dx`


Integrate the functions:

`x/(e^(x^2))`


Integrate the functions:

tan2(2x – 3)


Integrate the functions:

`(sin^(-1) x)/(sqrt(1-x^2))`


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


Integrate the following functions w.r.t. x : `(logx)^n/x`


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


Integrate the following functions w.r.t. x : `(x^n - 1)/sqrt(1 + 4x^n)`


Integrate the following functions w.r.t. x : `(cos3x - cos4x)/(sin3x + sin4x)`


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

`(1)/(sinx.cosx + 2cos^2x)`


Integrate the following functions w.r.t. x : `(sinx + 2cosx)/(3sinx + 4cosx)`


Evaluate the following:

`int (1)/(25 - 9x^2)*dx`


Evaluate the following : `int  (1)/(x^2 + 8x + 12).dx`


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


Integrate the following functions w.r.t. x : `int (1)/(cosx - sinx).dx`


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


Evaluate the following.

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


Evaluate the following.

`int 1/("x" log "x")`dx


Evaluate the following.

`int "x"^5/("x"^2 + 1)`dx


Evaluate the following.

`int (2"e"^"x" + 5)/(2"e"^"x" + 1)`dx


Evaluate the following.

`int 1/(sqrt(3"x"^2 - 5))` dx


State whether the following statement is True or False.

If ∫ x f(x) dx = `("f"("x"))/2`, then find f(x) = `"e"^("x"^2)`


Evaluate `int "x - 1"/sqrt("x + 4")` dx


Evaluate: `int log ("x"^2 + "x")` dx


`int x^2/sqrt(1 - x^6)` dx = ________________


`int 2/(sqrtx - sqrt(x + 3))` dx = ________________


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


`int  ("e"^x(x - 1))/(x^2)  "d"x` = ______ 


`int x/(x + 2)  "d"x`


`int sin^-1 x`dx = ?


`int dx/(1 + e^-x)` = ______


If I = `int (sin2x)/(3x + 4cosx)^3 "d"x`, then I is equal to ______.


`int(7x - 2)^2dx = (7x -2)^3/21 + c`


The value of `intsinx/(sinx - cosx)dx` equals ______.


Evaluate the following.

`int 1/(x^2+4x-5)  dx`


Evaluate the following

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


Prove that:

`int 1/sqrt(x^2 - a^2) dx = log |x + sqrt(x^2 - a^2)| + c`.


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


Evaluate:

`int sqrt((a - x)/x) dx`


Evaluate:

`int(sqrt(tanx) + sqrt(cotx))dx`


Evaluate `int1/(x(x-1))dx` 


Evaluate:

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


Evaluate the following.

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


Evaluate the following.

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


Evaluate the following.

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


`int (x + 1)/(x(1 + xe^x)) dx` is equal to


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×