Mathematics

If $$\int _{ log2 }^{ x }{ \dfrac { dx }{ \sqrt { { e }^{ x }-1 }  }  } =\dfrac { \pi  }{ 6 } ,$$then x is equal to _________.


ANSWER

4


View Full Answer

Its FREE, you're just one step away


Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Single Correct Hard
$$\int \dfrac {x^{2}dx}{(x\sin x + \cos x)^{2}}$$ is equal to
  • A. $$\dfrac {\sin x + \cos x}{x\sin x + \cos x}$$
  • B. $$\dfrac {x\sin x - \cos x}{x\sin x + \cos x} + c$$
  • C. $$\dfrac {\sin x - \cos x}{x\sin x + \cos x}x$$
  • D. None of these

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Hard
Find 
$$\displaystyle\int {\dfrac{{dt}}{{\sqrt t }}}  + \left( {3 - \dfrac{4}{3}} \right)\displaystyle\int {\frac{{dx}}{{\sqrt {3{x^2} + 4x + 1} }}} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Evaluate the following integral:
$$\displaystyle\int_{0}^{\pi} x\ dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
$$\int_{}^{} {\dfrac{{{{\sec }^8}x}}{{\cos ecx}}dx}  = $$
  • A. $$\dfrac{{{{\cos }^7}x}}{7} + c$$
  • B. $$\dfrac{7}{{{{\cos }^7}x}} + c$$
  • C. $$\dfrac{1}{{{{\cos }^7}x}} + c$$
  • D. $$\dfrac{1}{{7{{\cos }^7}x}} + c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Single Correct Hard
If $$\displaystyle I= \int_{1/\pi }^{\pi }\frac{1}{x}\cdot \sin \left ( x-\frac{1}{x} \right )dx$$ then I is equal to
  • A. $$\displaystyle \pi $$
  • B. $$\displaystyle \pi -\frac{1}{\pi }$$
  • C. $$\displaystyle \pi +\frac{1}{\pi }$$
  • D. $$0$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer