Definite Integrals

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

• 12/3
• 6.5
• 5.5
• 11/3

 $\int_1^2\frac{1}{\left(4x-3\right)^2}dx=$  

• 15

•  $1.5$  

•  $-\frac{1}{5}$  

• 0.2

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

• 2

•  $-\frac{1}{2}$  

•  $-2$  

•  $0.5$  

• -½x^-2 + C
• -⅖x^-5/2 + C
• 2x^1/2 + C
• -2x^-1/2 + C

Tags

CCSS.7.EE.A.1

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

• -1

• 1

•  $\pi$  

•  $\frac{\pi}{2}$  

Tags

CCSS.HSF.IF.A.2

 $\int_{-a}^a\left(2\sin2x\right)dx$  =

• 2a

• -a

• -2a

• 0

 What is the value of the definite integral : 
 $\int_{-\pi}^{\pi}\ \sin\left(x\right)\ dx$  

• 0

• 1

• 2

•  $2\pi$  

Evaluate the definite integral below using a graphing calculator. Leave answer as a decimal and round to three decimal places.

 $\int_{-\pi}^{\pi}\left(3x^2+\cos\left(x\right)\right)dx$  

(a)  

Evaluate the definite integral below using a graphing calculator. Leave answer as a decimal and round to three decimal places.

 $\int_{-2}^3\left(3e^{-2x-1}\right)dx$  

(a)