English

Choose the correct options from the given alternatives : ∫cotxsinx⋅cosx⋅dx =

Advertisements
Advertisements

Question

Choose the correct options from the given alternatives :

`int sqrt(cotx)/(sinx*cosx)*dx` =

Options

  • `2sqrt(cotx) + c`

  • `-2sqrt(cotx) + c`

  • `(1)/(2)sqrt(cotx) + c`

  • `sqrt(cotx) + c`

MCQ
Advertisements

Solution

`-2sqrt(cotx) + c`

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Indefinite Integration - Miscellaneous Exercise 3 [Page 149]

APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.1 | Page 149

RELATED QUESTIONS

Evaluate :

`∫(x+2)/sqrt(x^2+5x+6)dx`


Evaluate: `int sqrt(tanx)/(sinxcosx) dx`


Integrate the functions:

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


Integrate the functions:

tan2(2x – 3)


Evaluate `int 1/(3+ 2 sinx + cosx) dx`


\[\int\sqrt{1 + x - 2 x^2} \text{ dx }\]

\[\int\sqrt{16 x^2 + 25} \text{ dx}\]

\[\int\sqrt{2 x^2 + 3x + 4} \text{ dx}\]

Write a value of

\[\int x^2 \sin x^3 \text{ dx }\]

Write a value of\[\int \cos^4 x \text{ sin x dx }\]


Write a value of\[\int a^x e^x \text{ dx }\]


Write a value of

\[\int e^{2 x^2 + \ln x} \text{ dx}\]

Write a value of\[\int\left( e^{x \log_e \text{  a}} + e^{a \log_e x} \right) dx\] .


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


Write a value of \[\int\frac{1 - \sin x}{\cos^2 x} \text{ dx }\]


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


Evaluate the following integrals:

`int x/(x + 2).dx`


Evaluate the following integrals: `int (2x - 7)/sqrt(4x - 1).dx`


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


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


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


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


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


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


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


Evaluate the following integrals:

`int (7x + 3)/sqrt(3 + 2x - x^2).dx`


Integrate the following with respect to the respective variable:

`x^7/(x + 1)`


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


Evaluate the following.

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


Evaluate the following.

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


Evaluate the following.

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


Evaluate:

`int (5x^2 - 6x + 3)/(2x − 3)` dx


Evaluate: If f '(x) = `sqrt"x"` and f(1) = 2, then find the value of f(x).


Evaluate: `int sqrt("x"^2 + 2"x" + 5)` dx


`int (2 + cot x - "cosec"^2x) "e"^x  "d"x`


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


`int sin^-1 x`dx = ?


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


`int dx/(2 + cos x)` = ______.

(where C is a constant of integration)


Write `int cotx  dx`.


Evaluate the following.

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


Evaluate.

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


Evaluate:

`int(cos 2x)/sinx dx`


`int (cos4x)/(sin2x + cos2x)dx` = ______.


Evaluate the following.

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


Which standard substitution is used for \[\sqrt{x^2+\mathrm{a}^2}\], \[\frac{1}{\sqrt{x^2+\mathrm{a}^2}}\], or \[x^2+\mathrm{a}^2\]?


For indefinite integrals, what should be done after integration in the new variable?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×