Intro to Definite Integrals

Intro to Definite Integrals

Multiple Choice

∫₁³ 5x² dx

• a. 43

• b. 130/3

• c. 40

• d. 19/3

Multiple Choice

 What is the value of the definite integral :   $\int_0^{\frac{\pi}{2}}\cos\left(x\right)\ dx$ 

• -1

• 1

•  $\pi$  

•  $\frac{\pi}{2}$  

Multiple Choice

_{Evaluate the integral}

• 30/3

• 31/3

• 29/3

• 32/3

Multiple Choice

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

• 6

• 9

• 24

• 33

Multiple Choice

 $\int_1^2\left(4-x\right)dx=$  

• 2.5

•  −52-\frac{5}{2}

  −2

  
  

  5

  ​

    

•  25\frac{2}{5}

  5

  
  

  2

  ​

    

•  −0.4-0.4

  −0.4

    

Multiple Choice

Using the areas of each region given
 $\int_a^cf\left(x\right)=$  

• 20

• -7

• -10

• -4

Multiple Choice

 $\int_0^3g\left(x\right)dx=-5$  .  $\int_3^02g\left(x\right)dx=$  

•  $-10$  

•  $10$  

•  $-7$  

•  $-\frac{5}{2}$  

Multiple Choice

 $\int_1^2f\left(x\right)dx=3$  .  $\int_1^24f\left(x\right)dx=$  

•  $12$  

•  $7$  

•  $-12$  

•  $\frac{4}{3}$  

Multiple Choice

 $\int_1^3\left(2-\frac{3}{x^2}\right)dx=$  

• 2

•  $-\frac{1}{2}$  

•  $-2$  

•  $0.5$  

Multiple Choice

 $\int_{-1}^1\left(2x-1\right)\left(2x+1\right)dx=$  

• 3

•  $-\frac{2}{3}$  

•  $\frac{2}{3}$  

•  $-1.5$  

Multiple Choice

Find the Area under the curve.

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

Multiple Choice

Using the areas of each region given
 $\int_a^df\left(x\right)=$  

• 6

• 20

• 2

• 24

Multiple Choice

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

Multiple Choice

Using the areas of each region given
 $\int_b^df\left(x\right)=$  

• 2

• 22

• -2

• 3