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Class 12 Maths Practice Test - Properties of Definite Integrals
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Avg score: 80% • Most missed: “Compute \(\int_3^2\)f(x) dx if \(\int_2^3\)f(x) = 4.”
Class 12 Maths Practice Test - Properties of Definite Integrals
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15 Questions

1. Evaluate \(\int_2^3\)3f(x)-g(x)dx, if \(\int_2^3\)f(x) = 4 and \(\int_2^3\)g(x)dx = 4.
2. What is the name of the property \(\int_a^b\)f(x)dx=-\(\int_b^a\)f(x)dx?
3. The sum property of definite integrals is \(\int_a^b\)[f(x)+g(x)dx?
4. What is the constant multiple property of definite integrals?
5. Identify the zero-length interval property.
6. What is the name of the property of \(\int_a^b\)f(x)dx+\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx?
7. Evaluate \(\int_3^7\)2f(x)-g(x)dx, if \(\int_3^7\)f(x) = 4 and \(\int_3^7\)g(x)dx = 2.
8. Compute \(\int_3^2\)f(x) dx if \(\int_2^3\)f(x) = 4.
9. What is adding intervals property?
10. Compute \(\int_2^6\)7ex dx.
11. Compute \(\int_8^2\)2f(x)dx if \(\int_2^8\)f(x) = – 3.
12. What is the reverse integral property of definite integrals?
13. What is the name of the property \(\int_a^b\)f(x)dx = 0?
14. What is the difference property of definite integrals?
15. What property this does this equation come under \(\int^1_{-1}\)sin⁡x dx=-\(\int_1^{-1}\)sin⁡x dx?

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