Mathematics

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 Hard
$$\int _1^e\:e^{\frac{x^2-2}{2}}\left(\frac{1}{x}+x\:log\:x\right)dx$$ 

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Medium
$$\int{\dfrac{1}{x^{4}-1}dx}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Integrate the rational function   $$\cfrac {x^3+x+1}{x^2-1}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
If $$\displaystyle f\left ( x \right )$$ is a function of $$x$$ such that $$\displaystyle \frac{1}{\left ( 1 + x \right ) \left ( 1 + x^{2} \right )} = \frac{A}{1 + x} + \frac{f\left ( x \right )}{1 + x^{2}}$$ for all $$\displaystyle x \: \epsilon \: R$$ then $$\displaystyle f\left ( x \right )$$ is
  • A. $$\displaystyle \frac{x + 1}{2}$$
  • B. $$\displaystyle 1 - x$$
  • C. none of these
  • D. $$\displaystyle \frac{1 - x}{2}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Passage Medium
Consider two differentiable functions $$f(x), g(x)$$ satisfying $$\displaystyle 6\int f(x)g(x)dx=x^{6}+3x^{4}+3x^{2}+c$$ & $$\displaystyle 2 \int \frac {g(x)dx}{f(x)}=x^{2}+c$$. where $$\displaystyle f(x)>0    \forall  x \in  R$$

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

Asked in: Mathematics - Limits and Derivatives


1 Verified Answer | Published on 17th 08, 2020

View Answer