Home
Class 12
MATHS
int[x+2]/[2x^2+6x+5].dx...

`int[x+2]/[2x^2+6x+5].dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(4)log|2x^(2)+6x+5|+(1)/(2)tan^(-1)(2x+3)=C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.1|22 Videos
  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE 7.2|30 Videos
  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals. (i) int 1/((x - 2)^2 + 1)dx " " (ii) int (x^2)/(x^2 + 5)dx " " (iii) int 1/(sqrt(1 + 4x)^2)dx

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

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

Integrate the following with respect to x. (i) int(2x + 4)/(x^2 + 4x + 6) dx " " (ii) int (e^x)/(e^x - 1) dx " " (iii) int 1/(x log x) dx (iv) int(sin x + cos x)/(sin x - cos x) dx " " (v) int (cos 2x)/((sin x + cos x)^2) dx .

Suppose A = int dx/(x^(2)+6x+25) and B= int dx/(x^(2)-6x-27) . If 12(A+B) = lambda tan^(-1)((x+3)/4)+mu. In|(x-9)/(x+3)|+C , then the value of (lambda + mu) is

Evaluate the following integrals. (i) int 1/(x^2 - 2x + 5)dx " " (ii) int 1/(sqrt(x^2 + 12x + 11))dx .

int ((x+2)/(x+4))^2 e^x dx is equal to

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