Mathematics

# $\displaystyle \int\dfrac{1}{\sqrt{3x^2+5x+7}}dx$integrate wrt to x.

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

#### Realted Questions

Q1 Subjective Medium
Evaluate the following integral:
$\int { { x }^{ 3 }\cos {x}^{ 4 } } dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Hard
Simplify: $\underset {n \rightarrow \infty} \lim \left(\displaystyle \frac{1}{n}\{\sec^{2}\frac{\pi}{4n}+\sec^{2}\frac{2\pi}{4n}+\ldots+\sec^{2}\frac{n\pi}{4n}\}\right)$
• A. $2/\pi$
• B. $3/\pi$
• C. $5/\pi$
• D. $4/\pi$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
The value of $\displaystyle \int_{-\pi/2}^{\pi/2}\dfrac{1}{e^{sinx}+1}dx$ is equal to
• A. $0$
• B. $1$
• C. $-\dfrac{\pi}{2}$
• D. $\dfrac{\pi}{2}$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Integrate the function    $\sqrt {1+3x-x^2}$

Let $n \space\epsilon \space N$ & the A.M., G.M., H.M. & the root mean square of $n$ numbers $2n+1, 2n+2, ...,$ up to $n^{th}$ number are $A_{n}$, $G_{n}$, $H_{n}$ and $R_{n}$ respectively.