Definite Integrals

Find the antiderivative of  $f\left(x\right)=4x^2-6x+8$  

•  $F\left(x\right)=2x^3-2x^2+8x+C$  

•  $F\left(x\right)=8x-6+C$  

•  $F\left(x\right)=\frac{4}{3}x^3-3x^2+8x+C$  

•  $F\left(x\right)=4x^3-6x^2+8x+C$  

Find the Area under the curve.

• -500 ⁄ 3
• 20 ⁄ 3
• 500 ⁄ 3
• -20 ⁄ 3

  ∫₁³ 5x² dx

• a. 43
• b. 130/3
• c. 40
• d. 19/3

What is the value of the definite integral :  $\int_{-2}^3\ 3x^2\ dx$  ?

• 15

• 19

• 29

• 35

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

 $\int_0^3\left(3x^2-4x\right)dx=$  

• 9

• 15

• 16

• 14

∫₁² (3x² + 4x³)dx

• a. 24
• b. -8
• c. -10
• d. 22

What is the value of the definite integral :  $\int_{-3}^3x^2+x+1\ dx$  ?

• 6

• 9

• 24

• 33

If   $\int_{-5}^3g\left(x\right)dx=-2\$   and  $\int_{-5}^{15}g\left(x\right)dx=9$   

Find the value of  $\int_{15}^3\ \ g\left(x\right)dx$  

• 7

• 11

• - 11

• - 7