Mathematics

# Evaluate: $\displaystyle\int^1_0e^{2-3x}$ as the limits of sum.

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Single Correct Medium
$\displaystyle \int_{-\pi/2}^{\pi/2} \tan x^3dx=$ ?
• A. $1$
• B. $\dfrac{1}{2}$
• C. $2$
• D. $0$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Solve:
$\int\frac{1}{{1 + {x^2}}}$ dx

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
The value of $\cfrac { \int _{ 0 }^{ \pi /2 }{ { \left( \sin { x } \right) }^{ \sqrt { 3 } +1 } } dx }{ \int _{ 0 }^{ \pi /2 }{ { \left( \sin { x } \right) }^{ \sqrt { 3 } -1 } } }$ is
• A. $\cfrac { \sqrt { 3 } -1 }{ \sqrt { 3 } +1 }$
• B. $\cfrac { \sqrt { 3 } +1 }{ \sqrt { 3 } }$
• C. $\cfrac { 3-\sqrt { 3 } }{ 2 }$
• D. $\cfrac { \sqrt { 3 } +1 }{ \sqrt { 3 } -1 }$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

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

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

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