Use the rules for definite integration and the formulas

Integral from a to b cdx equals c left parenthesis b minus a right parenthesis$$abcdx$=$c$($b$$a$)$

for any constant c and

Integral from a to b xdx equals StartFraction b squared Over $2$ EndFraction minus StartFraction a squared Over $2$ EndFraction$$abxdx$=$b$22$a$22$

for

bgreater than$>$a

to evaluate the integral

Integral from $3$ to $6$ left parenthesis $2$ t minus $7$ right parenthesis dt$36(2$t$7)$dt$.$