English

Choose the correct alternative: ∫dx(x-8)(x+7) =

Advertisements
Advertisements

Question

Choose the correct alternative:

`int ("d"x)/((x - 8)(x + 7))` =

Options

  • `1/15 log((x + 2)/(x - 1)) + "c"`

  • `1/15 log((x + 8)/(x + 7)) + "c"`

  • `1/15 log((x - 8)/(x + 7)) + "c"`

  • (x – 8)(x – 7) + c

MCQ
Advertisements

Solution

`1/15 log((x - 8)/(x + 7)) + "c"`

shaalaa.com
  Is there an error in this question or solution?
Chapter 1.5: Integration - Q.1

RELATED QUESTIONS

If `int_(-pi/2)^(pi/2)sin^4x/(sin^4x+cos^4x)dx`, then the value of I is:

(A) 0

(B) π

(C) π/2

(D) π/4


Integrate the function in x2 log x.


Integrate the function in x (log x)2.


`intx^2 e^(x^3) dx` equals: 


Evaluate the following:

`int x tan^-1 x . dx`


Evaluate the following:

`int sec^3x.dx`


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


Evaluate the following : `int cos sqrt(x).dx`


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


Integrate the following functions w.r.t. x : `e^(sin^-1x)*[(x + sqrt(1 - x^2))/sqrt(1 - x^2)]`


Choose the correct options from the given alternatives :

`int (sin^m x)/(cos^(m+2)x)*dx` = 


Choose the correct options from the given alternatives :

`int (x- sinx)/(1 - cosx)*dx` =


Choose the correct options from the given alternatives :

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


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


Evaluate the following.

`int [1/(log "x") - 1/(log "x")^2]` dx


Choose the correct alternative from the following.

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


Evaluate: `int ("ae"^("x") + "be"^(-"x"))/("ae"^("x") - "be"^(−"x"))` dx


`int sqrt(tanx) + sqrt(cotx)  "d"x`


`int 1/sqrt(x^2 - 8x - 20)  "d"x`


`int [(log x - 1)/(1 + (log x)^2)]^2`dx = ?


The value of `int "e"^(5x) (1/x - 1/(5x^2))  "d"x` is ______.


`int "e"^x int [(2 - sin 2x)/(1 - cos 2x)]`dx = ______.


`int(logx)^2dx` equals ______.


If `π/2` < x < π, then `intxsqrt((1 + cos2x)/2)dx` = ______.


Evaluate `int(3x-2)/((x+1)^2(x+3))  dx`


Evaluate the following.

`intx^3/sqrt(1+x^4)  dx`


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


Which pair is listed as Trigonometric in the LIATE rule?


When applying integration by parts to \(\log x\) and inverse trig, what should they be multiplied by?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×