Calculus 2 Exam Review Part7

In this live stream, we will review various problems likely to appear in your Final Exam.
1. Series: Test of convergence
2. Integration by parts
3. U Subs method
These are the problem we will cover:
Problem 1 Evaluate the integral \int (-5x^2-5x)\sin(6x)dx.
Problem 2 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+6 } } { e^{ \sqrt{ x+6 } } }dx. Find its value if it converges.
Problem 3 Evaluate the integral \int 4xe^{ 10x }dx.
In problem 4: Find the antiderivative of the function e^( x )e^( x )^(2).
Problem 5 Evaluate the integral \int (-7x^2-10x)\sin(11x)dx.
Problem 6
Evaluate the integral \int \cos(\sqrt{ x+1 })dx.
Problem 7 \int \sqrt{ x+6 }e^{ \sqrt{ x+6 } }dx.
Problem 8 Evaluate the integral \int (-5x^2-7x)\cos(4x)dx.
Problem 9 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+7 } } { e^{ \sqrt{ x+7 } } }dx. Find its value if it converges.
Problem 10 Evaluate the integral \int (-9x)e^{ 6x }dx.
In problem 11: Find the antiderivative of the function ( 1 / x )cos(ln(x)).
Problem 12 Evaluate the integral \int (-10x^2+8x)\cos(9x)dx.
Problem 13
Evaluate the integral \int \cos(\sqrt{ x-2 })dx.
Problem 14 \int \sqrt{ x+8 }e^{ \sqrt{ x+8 } }dx.
Problem 15 Evaluate the integral \int (-3x^2+10x)e^{ 5x }dx.
Problem 16 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x } } { e^{ \sqrt{ x } } }dx. Find its value if it converges.
Problem 17 Evaluate the integral \int (-4x)e^{ 8x }dx.
In problem 18: Find the antiderivative of the function csc^2( x ) (-1)cot(x)^(6).
Problem 19 Evaluate the integral \int (-3x^2+8x)\cos(7x)dx.
Problem 20
Evaluate the integral \int \cos(\sqrt{ x+6 })dx.
Problem 21 \int \sqrt{ x+2 }\sin(\sqrt{ x+2 })dx.
Problem 22 Evaluate the integral \int (-7x^2-x)e^{ 10x }dx.
Problem 23 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 24 Evaluate the integral \int 8xe^{ 8x }dx.
In problem 25: Find the antiderivative of the function e^( x )cos(e^( x )).
Problem 26 Evaluate the integral \int (-5x^2-2x)\cos(11x)dx.
Problem 27
Evaluate the integral \int \sin(\sqrt{ x-9 })dx.
Problem 28 \int \sqrt{ x+7 }\sin(\sqrt{ x+7 })dx.
Problem 29 Evaluate the integral \int (7x^2-6x)e^{ 6x }dx.
Problem 30 Determine if it converges or diverges \int_1^\infty \frac{ \sqrt{ x+6 } } { e^{ \sqrt{ x+6 } } }dx. Find its value if it converges.
Problem 31 Evaluate the integral \int 10xe^{ 8x }dx.
In problem 32: Find the antiderivative of the function e^( x )sin(e^( x )).
Problem 33 Evaluate the integral \int (9x^2-4x)\cos(6x)dx.
Problem 34
Evaluate the integral \int \sin(\sqrt{ x+7 })dx.
Problem 35 \int \sqrt{ x+2 }\sin(\sqrt{ x+2 })dx.
Problem 36: Evaluate the following integral \int \sin(\log(x))dx.
\bf Problem 37 Diverges or Converges? \int_0^\infty \frac{ 1 } { e^{ x }+1 }dx. Find its value if it converges.
Problem 38
Problem 39 Evaluate the integral \int \arctan(\sqrt{x})dx.
Problem 40 Evaluate the integral \int \cos(\log(x))dx.