Calculus Area

The diagram shows the curve y = (x − 2)² and the line y + 2x = 7, which intersect at points A and B. Find the area of the shaded region.

• $10\ \frac{5}{7}$

• $10\ \frac{3}{4\ }$

• $10\ \frac{1}{3\ }$

• $10\ \frac{2}{3}$

 $\int_1^5\left(-x^2+6x-10\right)dx$  

•  $\frac{28}{3}$  

•  $\frac{-28}{3}$  

• 28

•  $-\frac{7}{2}$  

Tags

CCSS.HSA.APR.A.1

Find the antiderivative of

f'(x) = x² when f(3) = 11.

• (1/3)x³+ 2

• x³ + 29

• (1/3)x³ + 9

• x³ + 11

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.10

 $\int_{ }^{ }\left(7x^5-4x^3+8^{ }\right)dx$  

•  $x^6-x^4+x\ +C$  

•  $\frac{7}{6}x^6-x^4+8x+C$  

•  $\frac{7}{5}x^5-x^4+8\ +\ C$  

• None of these