- Thread starter sojeee
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Start with:Given that ∫ (9 upper limit and 3 lower limit) f(x) dx = 7

Evaluate ∫ (9 upper limit and 3 lower limit) 2f(x) +1 dx

Have no idea where to start

\(\displaystyle \displaystyle{\int [a * f(x)]dx \ = \ a * \int f(x)dx}\)

Start with:

\(\displaystyle \displaystyle{\int [a * f(x)]dx \ = \ a * \int f(x)dx}\)

Could u please explain this

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I find your lack of grouping symbols makes this hard to read.Given that ∫ (9 upper limit and 3 lower limit) f(x) dx = 7

Evaluate ∫ (9 upper limit and 3 lower limit) 2f(x) +1 dx

Have no idea where to start

If this is a correct reading then: \(\displaystyle \large{\int_3^9 {(2f(x) + 1)dx} = 2\int_3^9 {f(x)dx + } \int_3^9 {1dx} }\)

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You can factor out any constant in front of the integral sign!Could u please explain this