Which of the integrals below can be evaluated if we know that
\[\large{\int_0^3 f(x) \ dx = 7 \ \text{and} \ \int_0^3 g(x)\ dx =4\text{?}}\]
\[\int_0^3 (f(x)+2g(x))\ dx\]
\[\int_0^3 f(x)g(x)\ dx\]
\[\int_0^6 f(x) \ dx\]
\[\int_0^3 (g(x)+2) \ dx\]
\[\int_3^0 \!f(x) \ dx \, \times \int^3_0 \!g(x) \ dx\]
\[\int^3_{-3} g(x) \ dx\]
\[\int_{-3}^{3} f(x) \ dx\]
\[\int^2_{-1} f(x+1) \ dx\]
Which of the integrals can be evaluated if we have the following extra information?
\(f(x)\) is symmetric about \(x=3\)
\(g(x)\) is an odd function
\(f(x)\) is an even function
