Calculus 2 Exam Review Part6

In this live stream, we will review various problems likely to appear in your Final Exam.

Problem 1: Evaluate the following integral \int \sin(\log(x)) dx.
Problem 2 Diverges or Converges? \int_0^\infty \frac{ 1 } { e^{ x }+1 } dx. Find its value if it converges.
Problem 4
Evaluate the integral \int \arctan(\sqrt{x}) dx.
Problem 6 Evaluate the integral \green \int \cos(\log(x)) dx.
Problem 7 Evaluate the integral \green \int (4x^2+5x)\sin(10x) dx.
Problem 8 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+1 } } { e^{ \sqrt{ x+1 } } } dx. Find its value if it converges.
Problem 9 Evaluate the integral \green \int (-5x)e^{ 8x } dx.
In problem 10: Find the antiderivative of the function sin(x)(-1)cos(x)^(4).
Problem 11 Evaluate the integral \green \int (-8x^2-10x)\sin(9x) dx.
Problem 12
Evaluate the integral \int \cos(\sqrt{ x+7 }) dx.
Problem 13 \int \sqrt{ x+2 }e^{ \sqrt{ x+2 } } dx.
Problem 14 Evaluate the integral \green \int (7x^2+4x)\cos(6x) dx.
Problem 15 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x } } { e^{ \sqrt{ x } } } dx. Find its value if it converges.
Problem 16 Evaluate the integral \green \int (-7x)e^{ 10x } dx.
In problem 17: Find the antiderivative of the function sec^2( x ) sin(tan(x)).
Problem 18 Evaluate the integral \green \int (4x^2-8x)\sin(9x) dx.
Problem 19
Evaluate the integral \int e^{ \sqrt{ x-9 } } dx.
Problem 20 \int \sqrt{ x+6 }e^{ \sqrt{ x+6 } } dx.
Problem 21 Evaluate the integral \green \int (3x^2+8x)\cos(11x) dx.
Problem 22 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+5 } } { e^{ \sqrt{ x+5 } } } dx. Find its value if it converges.
Problem 23 Evaluate the integral \green \int 7xe^{ 10x } dx.
In problem 24: Find the antiderivative of the function sec( x ) tan( x ) sec( x ) ^(2).
Problem 25 Evaluate the integral \green \int (-9x^2+3x)\cos(7x) dx.
Problem 26
Evaluate the integral \int e^{ \sqrt{ x+1 } } dx.
Problem 27 \int \sqrt{ x+2 }e^{ \sqrt{ x+2 } } dx.
Problem 28 Evaluate the integral \green \int (-8x^2-5x)\sin(10x) dx.
Problem 29 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+2 } } { e^{ \sqrt{ x+2 } } } dx. Find its value if it converges.
Problem 30 Evaluate the integral \green \int 5xe^{ 5x } dx.
In problem 31: Find the antiderivative of the function sec( x ) tan( x ) sec( x ) ^(8).
Problem 32 Evaluate the integral \green \int (-6x^2-x)\sin(11x) dx.
Problem 33
Evaluate the integral \int e^{ \sqrt{ x-5 } } dx.
Problem 34 \int \sqrt{ x+5 }\sin(\sqrt{ x+5 }) dx.
Problem 35 Evaluate the integral \green \int (-6x^2+x)\sin(6x) dx.
Problem 36 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+2 } } { e^{ \sqrt{ x+2 } } } dx. Find its value if it converges.
Problem 37 Evaluate the integral \green \int (-4x)e^{ 5x } dx.
In problem 38: Find the antiderivative of the function csc^2( x ) (-1)cot(x)^(8).
Problem 39 Evaluate the integral \green \int (x^2+3x)\sin(9x) dx.
Problem 40
Evaluate the integral \int e^{ \sqrt{ x-1 } } dx.
Problem 41 \int \sqrt{ x+1 }\sin(\sqrt{ x+1 }) dx.