Solving Force vs Time Graph Homework Problem

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Homework Statement


A rocket increase its upward Force uniformly from 5*10^6N to 8*10^6 Nover 15s

find the impulse?



Homework Equations


Impulse?


The Attempt at a Solution



My answer=(5*10^6 +8*10^6/2)15=9.75*10^7N.s

Book answer=6*10^7

please help me how to find the right answer?
 
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