Home
Class 12
MATHS
The integral intcos(log(e)x)dx is equal ...

The integral `intcos(log_(e)x)dx` is equal to: (where C is a constant of integration)

A

`x/2[sin(log_ex-cos(log_ex)]+C`

B

`x/2[cos(log_ex+sin(log_ex)]+C`

C

`x[cos(log_ex+sin(log_ex)]+C`

D

`x[cos(log_ex-sin(log_ex)]+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 8|10 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 9|6 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 6|6 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The integral int(1+x-1/x)e^(x+1/x)dx is equal to

If int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x^2))^m+C ,for a suitable chosen integer m and a function A(x), where C is a constant of integration, then (A(x))^m equals

The integral int(2x^12+5x^9)/((x^5+x^3+1)^3)dx is equal to: where C is an arbitrary constant.

Integrate : int(cos^(-1)x+logx)dx

The value of the integral int x^(3)log x dx is equal to -

If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C , where C is a constant of integration, then f(x) is equal to

Integrate : int x^(n)logx dx

Integrate : int cot^(-1)x dx

Integrate : int cos2x log(1+tanx)dx

If intf(x)sinxcosxdx=(1)/(2(b^2-a^2))logf(x)+c , where c is the constant of integration, then f(x)=