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Izni Rais

4 years

Mathematics

University

Integration

Izni Rais

124
plays

10 questions

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1. Multiple Choice
1 minute
1 pt
Which of the following is TRUE ?
$\int_{ }^{ }\sin\ x\ \ dx\ =\ \cos\ x\ +c$
$\int_{ }^{ }e^x\ \ dx\ =\ \frac{e^{x+1}}{x+1}\ +\ c$
$\int_{ }^{ }\ \frac{1}{x}\ \ dx\ =\ \ln\ \left|x\ \right|\ +c$
$\int_{ }^{ }\ x\ \ dx\ =\ 1\ +\ c$
2. Multiple Choice
1 minute
1 pt
$\int_{ }^{ }x^3\ -\pi\ dx\ \ =$
$3x^2\ +\ c$
$\frac{x^4}{4}\ +\ c$
$\frac{x^4}{4}\ -\ \pi x$
$\frac{x^4}{4}\ -\ \pi x\ +\ c$
3. Multiple Choice
1 minute
1 pt
What is $\int_{ }^{ }\ \frac{5}{x^6}\ dx$ ?
$5x^{-6}\ +\ c$
$5x^{-5}\ +\ c$
$-\frac{5}{4x^4}\ +\ c$
$-\frac{1}{x^5}\ +\ c$
4. Multiple Choice
1 minute
1 pt
Integrate $\int_{ }^{ }\cos\ \left(5x\right)\ dx$ with respect to x.
$\sin\ \left(5x\right)\ +\ c$
$-\frac{1}{5}\sin\ \left(5x\right)\ +\ c$
$\frac{1}{5}\ \sin\ \left(5x\right)\ +\ c$
$\frac{\cos\ \left(5x\right)}{5}\ +\ c$
5. Multiple Choice
2 minutes
1 pt
Which is the integral of $\int_{ }^{ }\ \left(5-3x\right)^3\ dx$ ?
$3\left(5-3x\right)^2\ +c$
$\frac{\left(5-3x\right)^4}{4}+\ c$
$\frac{\left(5-3x\right)^4}{12}+\ c$
$-\frac{\left(5-3x\right)^4}{12}+\ c$
6. Multiple Choice
1 minute
1 pt
Which of the following is NOT one of techniques of Integration?
Substitution
By Part
Quotient Rule
Partial Fraction
7. Multiple Choice
2 minutes
1 pt
Using integration by part, if given that u = (x + 1) then find v for $\int\left(x\ +1\right)\ e^{2x}\ dx$
$\frac{x^2}{2}+x$
$e^{2x}$
$2e^{2x}$
$\frac{e^{2x}}{2}$
8. Multiple Choice
2 minutes
1 pt
Integrate the partial fraction with respect to x
$\int_{ }^{ }\ \frac{1}{\left(x\right)}\ +\ \frac{4}{\left(2x\ -1\ \right)}\ dx$
$\ln\ \left|x\right|\ +\ 8\ \ln\left|2x-1\right|+c$
$\ln\ \left|x\right|\ +\ 4\ \ln\ \left|x-1\right|+c$
$\ln\ \left|x\right|\ +\ 4\ \ln\left|2x-1\right|+c$
$\ln\ \left|x\right|\ +\ 2\ \ln\left|2x-1\right|+c$
9. Multiple Choice
2 minutes
1 pt
Evaluate $\int_1^2\ \ 3x^2\ \ dx$
$7$
$8$
$12$
$x^3$
10. Multiple Choice
2 minutes
1 pt
Evaluate the integral $\int_0^2\ \frac{x^3\ +\ x^2}{x^2}\ dx$
$2$
$4$
$6$
$8$
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Integration

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