Home
Class 11
MATHS
Evaluate the following integrals. (i) ...

Evaluate the following integrals.
(i) `12/((4x - 5)^3) + 6/(3x + 2) + 16 e^(4x + 3)`
(ii) `15/(sqrt(5x - 4)) - 8 cot (4x + 2) "cosec" (4x + 2)`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `-3/(2(4x - 5)^2) + 2 log |3x + 2| + 4e^(4x + 3) + c`.
(ii) `6sqrt(5x - 4) + 2 "cosec" (4x + 2) + c`.
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|59 Videos

  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.1|4 Videos

  • EXAMINATION QUESTION PAPER MARCH 2019

    FULL MARKS|Exercise MATHEMATICS|49 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    FULL MARKS|Exercise ADDITIONAL PROBLEM|17 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals. (1)/(5-4x-x^(2))

Evaluate the following integrals int (3x + 5)/(x^2 + 4x + 13) dx .

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(12/(4x-5)^(3) + 6/(3x+2)+16e^(4x+3))dx

Evaluate the definite integrals int_(1)^(2)(4x^(3)-5x^(2)+6x+9)dx

Evaluate the following with respect to x. (i) int (4x + 5)^6 dx " " (ii) int sqrt((15 - 2x))dx " " (iii) int 1/((3x + 7)^4) dx .

Evaluate the definite integrals int_(1)^(2)(5x^(2))/(x^(2)+4x+3)

Evaluate the definite integral int_(0)^(1)(4x^(3)+3x^(2)-2x-1)dx

Integrate the following. (i) 1/(16 - x^2) " " (ii) 1/(7 - (4x + 1)^2) " " (iii) 1/(5 - 6x - 9x^2)

Integrate the following with respect to x. (i) e^(3x) " " (ii) e^(5 - 4x) " " (iii) 1/((3x - 2)) " " (iv) 1/((5 - 4x)) .