English

Evaluate ∫1(2x+3) dx

Advertisements
Advertisements

Question

Evaluate `int 1/((2"x" + 3))` dx

Sum
Advertisements

Solution

Let I = `int 1/(2"x" + 3)` dx

∴ I = `(log |"2x" + 3|)/2` + c

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Integration - MISCELLANEOUS EXERCISE - 5 [Page 138]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q IV. 1) iii) | Page 138

RELATED QUESTIONS

Find the particular solution of the differential equation x2dy = (2xy + y2) dx, given that y = 1 when x = 1.


Integrate the functions:

`xsqrt(x + 2)`


Integrate the functions:

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


Integrate the functions:

`sin x/(1+ cos x)`


Integrate the functions:

`((x+1)(x + logx)^2)/x`


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


Evaluate the following integrals : `intsqrt(1 - cos 2x)dx`


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


Evaluate the following integrals:

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


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


Evaluate the following:

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


Evaluate the following : `int sqrt((10 + x)/(10 - x)).dx`


Evaluate the following integrals : `int sqrt((x - 7)/(x - 9)).dx`


Evaluate the following integrals : `int sqrt((9 - x)/x).dx`


If f'(x) = x2 + 5 and f(0) = −1, then find the value of f(x).


Evaluate `int (5"x" + 1)^(4/9)` dx


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


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


`int ("e"^(3x))/("e"^(3x) + 1)  "d"x`


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


`int sqrt(x)  sec(x)^(3/2) tan(x)^(3/2)"d"x`


`int(log(logx))/x  "d"x`


State whether the following statement is True or False:

`int sqrt(1 + x^2) *x  "d"x = 1/3(1 + x^2)^(3/2) + "c"`


`int(sin2x)/(5sin^2x+3cos^2x)  dx=` ______.


Evaluate the following.

`int(1)/(x^2 + 4x - 5)dx`


Evaluate the following:

`int (1) / (x^2 + 4x - 5) dx`


For \[\int\frac{\sin x}{\sin(x+a)}\,dx\], which substitution gives \[dx=dt\]?


What is \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×