Mathematics

Evaluate : $$\int { \dfrac { 1-x }{ \sqrt { x }  }  } dx$$


SOLUTION
View Full Answer

Its FREE, you're just one step away


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

Realted Questions

Q1 Single Correct Medium
$$\displaystyle\int { \dfrac { 1 }{ x\log { { x }^{ 2 } }  } dx } $$ is equal to
  • A. $$\log { \left| \log { { x }^{ 2 } } \right| } +C$$
  • B. $$2\log { \left| \log { { x }^{ 2 } } \right| } +C$$
  • C. $$4\log { \left| \log { { x }^{ 2 } } \right| } +C$$
  • D. $$\dfrac { 1 }{ 4 } \log { \left| \log { { x }^{ 2 } } \right| } +C$$
  • E. $$\dfrac { 1 }{ 2 } \log { \left| \log { { x }^{ 2 } } \right| } +C$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
Simplify: $$\displaystyle \lim_{n\rightarrow \infty }\sum_{r=1}^{n}\frac{1}{n}e^{r/n}$$
  • A. e
  • B. $$\displaystyle 1-e$$
  • C. $$\displaystyle e+1$$
  • D. $$\displaystyle e-1$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Evaluate the following integral
$$\int { \cfrac { { e }^{ x-1 }+{ x }^{ e-1 } }{ { e }^{ x }+{ x }^{ e } }  } dx\quad $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Find the value of $$\displaystyle\int e^x(\tan x-\log|\cos x|)dx$$

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