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Calc 2 6.4

 

<== Calculus 2
Number Question Answer
See the work

1.

 

 

 

Use a table of Integrals that may be found in the back of your textbook
to evaluate the integral
∫ sec^3(7x)dx
_________+C

 

(1/(2*7))*(sec(7*x)*tan(7*x)+ln(abs(sec(7*x)+tan(7*x))))+C                
The work

Point Cost: 3

2.

 

 

Use a table of Integrals that may be found in the back of your textbook
to evaluate the integral
∫ sqrt(8-4x-4x^2)dx

 

(1/4)*((2x+1)*(sqrt(7-4(x+1/2)^2))+7sin^-1((2x+1)/sqrt(7)))
The work

Point Cost: 4

3.

 

 

 

Use a table of Integrals that may be found in the back of your textbook
to evaluate the integral
a=1
b=0
∫ x^4(e^(8x))dx

 

240.8921127
The work

Point Cost: 3

4.

 

 

Use a table of Integrals that may be found in the back of your textbook
to evaluate the integral
∫ (sec^2(9t)tan^2(9t))/(sqrt(25-tan^2(9t)))dt

 

(1/8)*(-tan(8*t)*sqrt(64-tan(8*t)**2)/2+64*arcsin(tan(8*t)/8)/2)+C

The work

Point Cost: 4