Home
Class 11
MATHS
Integrate the following with respect to ...

Integrate the following with respect to x.
`(i) int tan x dx " " (ii) int cot x dx " " (iii) int cosec x dx " " (iv) int sec x dx`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `log|sec x| + c`
(ii) `- log |sin x| + c`
(iii) `log|"cosec" x - cot x| + c`.
(iv) `log|sec x + tan x| + 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

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 .

Evaluate the followig integrals (i) int xe^x dx " " (ii) int x cos x dx " " (iii) int log x dx " " (iv) int sin^(-1)x 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 .

Integrate with respect to x. int"cosec"xdx

Evaluate the following integrals: (i) int 2x sqrt(1 + x^2)dx " " (ii) int e^(-x^2) x dx " " (iii) int (sin x)/(1 + cos x) dx (iv) int 1/(1 + x^2)dx " " (v) int x (a - x)^8 dx .

Evaluate the following : (i) int sqrt(4 - x^2) dx " " (ii) int sqrt(25 x^2 - 9)dx " " (iii) int sqrt(x^2 + x + 1) dx .

Evaluate the following integrals (i) int e^(3x) cos 2x dx " " (ii) int e^(-5x) sin 3x dx

Integrate the following w.r.t. x . int(dx)/(sqrt(2x-x^(2)))

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