Mathematics

Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84
Enroll Now For FREE

Realted Questions

Q1 Subjective Easy
Evaluate $$\int \dfrac{e^x-e^{-x}}{e^x+e^{-x}}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Hard
Integrate the function:$$\dfrac{1}{x+x\log{x}}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Single Correct Medium
The value of $$\displaystyle \int_{0}^{\pi }\displaystyle \frac{dx}{1-2\alpha \cos x+\alpha ^{2}}$$ is
  • A. $$\displaystyle \frac{\pi }{1+\alpha ^{2}}$$ if $$\alpha > 1$$
  • B. $$\displaystyle \frac{\pi }{1+\alpha ^{2}}$$ if $$\alpha < 1$$
  • C. $$\displaystyle \frac{\pi }{\alpha ^{2}-1}$$ if $$\alpha < 1$$
  • D. $$\displaystyle \frac{\pi }{\alpha ^{2}-1}$$ if $$\alpha > 1$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Hard
The integral $$\displaystyle  \int (1+x-\displaystyle \frac{1}{x})e^{x+\frac{1}{x}} dx $$ is equal to 
  • A. $$ (x-1)e^{x+ \frac{1}{x}} +c $$
  • B. $$ (x+1)e^{x+\frac{1}{x}} +c $$
  • C. $$ -xe^{x+\frac{1}{x}} +c $$
  • D. $$ xe^{x+\frac{1}{x}} +c $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Single Correct Medium
Let $$[\cdot]$$ denote the greatest integer function then the value of $$\displaystyle\int^{1.5}_0x[x^2]dx$$ is?
  • A. $$0$$
  • B. $$\dfrac{3}{2}$$
  • C. $$\dfrac{5}{4}$$
  • D. $$\dfrac{7}{4}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer