Let a<b<ca<b<c. The functions f(x)f(x) and g(x)g(x) obey 1) ∫baf(x)dx=−3\displaystyle \int_{b}^{a} f(x) dx = -3 2) ∫bcf(x)dx=4\displaystyle \int_{b}^{c} f(x) dx = 4 3) ∫abg(x)dx=6\displaystyle \int_{a}^{b} g(x) dx = 6 4) ∫bcg(x)dx=2\displaystyle \int_{b}^{c} g(x) dx = 2 Find the following integrals a) ∫ab3f(x)dx=\displaystyle \int_{a}^{b} 3f(x) dx = [Fill in the blank], b) ∫aaf(x)⋅g(x)dx=\displaystyle \int_{a}^{a} f(x) \cdot g(x) dx = [Fill in the blank], c) ∫ac[3f(x)−2g(x)]dx=\displaystyle \int_{a}^{c} [3f(x)-2g(x)]dx = [Fill in the blank], d) ∫ab[2f(x)+3g(x)]dx=\displaystyle \int_{a}^{b} [2f(x)+3g(x)]dx = [Fill in the blank],