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(Solved): (a) Suppose h is a function with a continuous second derivative that satisfies h(4)=-9,h(7)=5, h^(') ...
(a) Suppose h is a function with a continuous second derivative that satisfies
h(4)=-9,h(7)=5,
h^(')(4)=1,h^(')(7)=0
h^('')(4)=-5,h^('')(7)=-4
Evaluate the following definite integral, where a and b are real-valued constants:
\int_4^7 (ax+b)h^('')(x)dx=, ? a+, ? b+
(b) Suppose g is a function with a continuous second derivative that satisfies
g(7)=-20,g(17)=5
g^(')(7)=1,g^(')(17)=8
g^('')(7)=-1,g^('')(17)=-13
Evaluate the following definite integral:
\int_7^(17) g^(')(t)g^('')(t)dt=