Suppose int_5^6f(x)dx = 6 and int_5^6g(x)dx=2. Evaluate int_5^6(4f(x)-2g(x))dx. Remember to include a "+ C"if appropriate.

glasskerfu 2021-02-21 Answered
Suppose 56f(x)dx=6and56g(x)dx=2.
Evaluate 56(4f(x)2g(x))dx.
Remember to include a "+ C"if appropriate.
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Expert Answer

Theodore Schwartz
Answered 2021-02-22 Author has 99 answers
Step 1
Use the basic properties of definite integrals to find the sum of these integrals.
Step 2
56(4f(x)2g(x))dx=564f(x)dx562g(x)dx
=456f(x)dx256g(x)dx
=4(6)2(2)
=244=20
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