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Izni Rais

4 years

Mathematics

University

Basic Integration

Izni Rais

979
plays

10 questions

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1. Multiple Choice
30 seconds
1 pt
If y = $ax^n$ , then $\int_{ }^{ }y\ dx\ =$
$\frac{ax^{n+1}}{n+1}$
$\frac{ax^{n-1}}{n-1}+\ c$
$\frac{ax^{n+1}}{n}+\ c$
$\frac{ax^{n+1}}{n+1}+\ c$
2. Multiple Choice
30 seconds
1 pt
Which of the following is the indefinite integral of $\frac{x^3}{2}+7$ ?
$\frac{3x^2}{2}$
$\frac{3x^2}{2}+7x+c$
$\frac{x^4}{8}+7x+c$
$\frac{x^4}{8}+c$
3. Multiple Choice
45 seconds
1 pt
Integrate $\sqrt{x}$ with respect to x
$x^{\frac{1}{2}}+c$
$\frac{1}{2}x^{-\frac{1}{2}}+\ c$
$\frac{2}{3}x^{\frac{3}{2}}+\ c$
$\frac{3}{2}x^{\frac{3}{2}}+\ c$
4. Multiple Choice
45 seconds
1 pt
Which of the following is the indefinite integral of $\frac{3}{x^4}\ \ ?$
$-\frac{1}{x^3}+\ c$
$\frac{3}{5x^5}+\ c$
$-\frac{12}{x^5}+\ c$
$\frac{1}{x^3}+\ c$
5. Multiple Choice
30 seconds
1 pt
Integrate $\int\left(2x+1\right)^{10}\ dx$ with respect to x.
$22\left(2x+1\right)^{11}+c$
$\frac{1}{22}\left(2x+1\right)^{11}+c$
$11\left(2x+1\right)^{10}+c$
$\frac{1}{11}\left(2x+1\right)^{10}+c$
6. Multiple Choice
45 seconds
1 pt
$\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx$
$x^{-1}\ +\ x^{-2}+\ c$
$x^0\ -\ x^{-1}+\ c$
$\ln x+\ x^{-1}+\ c$
$\ln x-\ x^{-1}+\ c$
7. Multiple Choice
30 seconds
1 pt
$\int_{ }^{ }\sec^2\ 5x\ \ dx\ \ =$
$\tan\ x\ \ +\ c$
$\frac{1}{5}\tan\ x\ \ +\ c$
$\frac{1}{5}\tan\ 5x\ \ +\ c$
$\frac{1}{5}\tan^2\ 5x\ \ +\ c$
8. Multiple Choice
30 seconds
1 pt
Integrate $\sin\left(\frac{x}{2}\right)$ with respect to x
$\cos\left(\frac{x}{2}\right)\ +\ c$
$-2\cos\left(\frac{x}{2}\right)\ +\ c$
$-\cos\left(\frac{x}{2}\right)\ +\ c$
$-\frac{1}{2}\cos\left(\frac{x}{2}\right)\ +\ c$
9. Multiple Choice
45 seconds
1 pt
Find the integral with respect to x of $\int_{ }^{ }\ \left(e^{3x}\right)^2\ dx\ .$
$\frac{e^{6x}}{6}\ +\ c$
$\frac{e^{9x}}{9}\ +\ c$
$6e^{6x}\ +\ c$
$\left(e^{3x}\right)^2\ +\ c$
10. Multiple Choice
30 seconds
1 pt
Find indefinite integral for $\int_{ }^{ }\frac{1}{e^{5x}}\ dx$
$\frac{1}{5}e^{5x}\ +\ c$
$-5e^{4x}\ +\ c$
$\frac{e^{-5x}}{-5}+\ c$
$\frac{e^{-4x}}{-4}+\ c$
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Basic Integration

University

Mathematics

Mathematics

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Basic Integration

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