Mathematics

# The absolute value of $\displaystyle \int_{10}^{19}\dfrac {\sin x}{1+x^{8}}$ is less than:

$10^{-10}$

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

#### Realted Questions

Q1 Single Correct Medium
$\displaystyle\int \dfrac{(3x^3+1)dx}{x(x\cdot e^{x^3}+1)}$ is equal to?
• A. $ln\left|\dfrac{xe^{x^3}}{xe^{x^3}+1}\right|+C$
• B. $ln\left|\dfrac{xe^{x^3}}{xe^{x^3}-1}\right|+C$
• C. $ln\left|\dfrac{xe^{x^3}+1}{xe^{x^3}}\right|+C$
• D. $ln \left|\dfrac{xe^{x^3}-1}{xe^{x^3}}\right|+C$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
$\int \dfrac{(\sqrt{x})^{3}}{(\sqrt{x})^{3}+x^{7/2}}dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
$\int {\frac{e^xdx}{e^x+1}}$

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Medium
A disc, sliding on an inclined plane , is found to have its position (measured from the top of the plane) at any instant given by $x = 3{t^2} + 1$ where $x$ is in meter and $t$ in second. Its average velocity in the time interval between $2s\,to\,2$is
• A. $10.2\,m{s^{ - 1}}$
• B. $15.5\,m{s^{ - 1}}$
• C. $9.7\,m{s^{ - 1}}$
• D. $12.3\,m{s^{ - 1}}$

Solve $\displaystyle \int\sqrt{\dfrac{a-x}{a+x}}dx$