Mathematics

# The value of the integral $\displaystyle \int_0^{1} {{1 + 2 x}}dx$ is

$2$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
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#### Realted Questions

Q1 Subjective Medium
Evaluate:
$\displaystyle \int \dfrac { 1 } { x - \sqrt { x } } d x$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Hard
$\text { Evaluate: } \displaystyle \int_{0}^{\pi / 2} \dfrac{\sin ^{2} x}{\sin x+\cos x} \mathrm{d} \mathrm{x}$

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Q3 Single Correct Medium
The value of $\displaystyle \int_{-\pi}^{\pi}\frac{\cos^{2}\mathrm{x}}{1+\mathrm{a}^{\mathrm{x}}}$ dx, $\mathrm{a}>0$, is

• A. $\mathrm{a} \pi$
• B. $\displaystyle \frac{\pi}{\mathrm{a}}$
• C. $\mathrm{2} \pi$
• D. $\displaystyle \frac{\pi}{\mathrm{2}}$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Medium
$\displaystyle \int_{\tfrac{1}{\sqrt{3}}}^{0}\dfrac{dx}{\left ( 2x^{2}+1 \right )\sqrt{x^{2}+1}}$
• A. $\displaystyle \tan^{-1} 1$
• B. $\displaystyle - \tan^{-1} \dfrac{1}{3}$
• C. $\displaystyle \tan^{-1} \dfrac{1}{\sqrt 2}$
• D. $\displaystyle - \tan^{-1} \dfrac{1}{2}$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q5 Subjective Medium
Evaluate:
$\displaystyle\int x^n\log_ex\ dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020