Question
Fill in the blanks: 1. 2. 3. 4. 5. integral is where the integration is performed in a specific interval. If the integration is
Fill in the blanks: 1. 2. 3. 4. 5. integral is where the integration is performed in a specific interval. If the integration is performed between a to b, then a is known as lower limit and b is known as ............. limit. For integration of definite integral we integrate the specified apply the upper and lower limit. first then The fundamental properties of integrals are simply attained for us since the integral is defined straightforwardly by When a function involves a calculus integral on an interval it must also contain a calculus integral on all 6. When a function involves a calculus integral on two..... .intervals it must also contain a calculus integral on the amalgamation of the two intervals. 7. The integral on the large interval is the 8. ... of the other two integrals. Suppose f and g be integrable functions on the interval [a; b]. Subsequently f+g is also integrable on [a; b] and we have............ 9. The formula for 10. several points x in (a,b). f(x)dx+8(x)dx. . is " f(x)dx " g(x)dx if f(x) = g(x) for all but finitely If both functions f (x) and g(x) contain a calculus integral on the interval [a,b] then any rf(x)+s g(x) (rs = R) also encloses a calculus integral on the interval [a,b]. 11. The integration by formula is defined by [*F(x)G(x)dx = F(x)G(x) [*F(x)G(x)dx. 12. The formula is defined by [f(x(t))g(t)dt = f(x)dx. s(b) gla) 13. f(t)dt is an integral of f and so, by definition, f(1)dt = f(x). d dx 14. Complete the following: [f(x)dx = ["f(x)dx+
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