Mathematics

# $\displaystyle \int _{ -1 }^{ 1 }{ \dfrac { { e }^{ x }+1 }{ { e }^{ x }-1 } }$ dx equals-

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Single Correct Medium
$\int \:x^{-\frac{2}{3}}\left(1+x^{\frac{1}{2}}\right)^{-\frac{5}{3}}dx$ is equal to
• A. $3\left(1+x^{-\frac{1}{2}}\right)^{-\frac{2}{3}}+c$
• B. $3\left(1+x^{\frac{1}{2}}\right)^{-\frac{2}{3}}+c$
• C. none of these
• D. $3\left(1+x^{-\frac{1}{2}}\right)^{-\frac{1}{3}}+c$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Hard
$\displaystyle\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}}sin|x|\ dx$
• A. $1$
• B. $-1$
• C. $-2$
• D. $2$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
$\displaystyle\int e^x(\sin x+\cos x)dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Hard
Integrate $\displaystyle \int_{0}^{\pi }\frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}}dx$
• A. $\displaystyle \frac{\pi }{12}$
• B. $\displaystyle \frac{\pi }{3}$
• C. $\displaystyle \frac{\pi }{4}$
• D. $\displaystyle \frac{\pi }{2}$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q5 Subjective Medium
Solve $\int { 2\sin { 3x } } \sin { 6x } dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020