Mathematics

The integral $$\displaystyle\int \dfrac{dx}{x^2(x^4+1)^{3/4}}$$ equals?


ANSWER

$$\left(\dfrac{x^4+1}{x^4}\right)^{1/4}+C$$


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 Subjective Medium
$$\int { \sin ^{ 2 }{ \cfrac { x }{ 2 }  }  } dx\quad $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Multiple Correct Hard
If $$\displaystyle \int \frac {xe^x}{\sqrt {1 + e^x}} dx = f(x) \sqrt {1 + e^x} -2 \log \: g(x) + C$$, then
  • A. $$\displaystyle f(x) = x - 1$$
  • B. $$\displaystyle g(x) = \frac {\sqrt {1 + e^x} + 1}{\sqrt {1 + e^x} - 1}$$
  • C. $$\displaystyle g(x) = \frac {\sqrt {1 + e^x} - 1}{\sqrt {1 + e^x} + 1}$$
  • D. $$\displaystyle f(x) = 2(x - 2)$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Single Correct Medium
$$\int_{2}^{3}\dfrac{2-x}{\sqrt{5x-6-x^{2}}} dx =$$
  • A. $$\pi /2$$
  • B. $$-\pi /3$$
  • C. $$\pi $$
  • D. $$-\pi /2$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
$$\int\frac{dx}{x(x^n+1)}$$
  • A. $${n}$$ $$(log{x^n}$$-$$log(x^n +1))+C$$
  • B. $$\frac{1}{n}$$ $$(log{x^n}$$+$$log(x^n +1))+C$$
  • C. $${n}$$ $$(log{x^n}$$+$$log(x^n +1))+C$$
  • D. $$\frac{1}{n}$$ $$(log{x^n}$$-$$log(x^n +1))+C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Passage Medium
Let $$\displaystyle I_{1}=\int_{0}^{1}(1-x^{2})^{1/3} dx$$  &  $$\displaystyle I_{2}=\int_{0}^{1}(1-x^{3})^{1/2} dx$$

On the basis of above information, answer the following questions: 

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer