What is #int_7^9f(x)dx# ?

Question

if #int_4^7f(x)dx=13# and #int_4^9f(x)dx=17#, find #int_7^9f(x)dx#

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Answer 1 · 2018-03-14T07:37:04

#4#

#int_4^7f(x)dx=13#
#color(red)(int_7^4f(x)dx=-13)#

#color(blue)(int_4^9f(x)dx=17)#

Add both.

#color(red)(int_7^4f(x)dx)+color(blue)(int_4^9f(x)dx)=color(blue)(17)color(red)(-13)=4#

#int_7^9f(x)dx=4#