Home
Class 12
MATHS
Find the following integrals :(i) int(d...

Find the following integrals :(i) `int(dx)/(x^2-4x+13)` (ii) `int(dx)/(3x^2+13 x-10)`

Text Solution

AI Generated Solution

Let's solve the given integrals step by step. ### Part (i): Find the integral \(\int \frac{dx}{x^2 - 4x + 13}\) 1. **Complete the square**: \[ x^2 - 4x + 13 = (x^2 - 4x + 4) + 9 = (x - 2)^2 + 9 \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.1|22 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.8|6 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.3|24 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Find the following integrals (i) int(1)/(x^(2)+2x+2)dx (ii) int(1)/(3x^(2)+13x-10)dx

(i) int (dx)/(x^2+3) (ii) int (dx)/sqrt(4-x^2)

int(1)/(3x^(2)+13x-10)dx

Find the following integrals: ( i ) int(dx)/(x^(2)-16)int(dx)/(sqrt(2x-x^(2)))

Evaluate the following integrals: int(3x+4)^(2)dx

Evaluate the following integrals : (a) int (dx)/( x^(2) - 6x + 13),

Evaluate: int (dx)/(x^2-6x+13)

Find the following integrals: ( i ) int(x^(3)+5^(x)+3e^(x))dx( ii) int(sin x)/(cos^(2)x)dx

(i) int_0^1 (dx)/(3x-4) (ii) int_1^3 (dx)/(7-2x)