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A list of ten integration problems for students to solve using the integral table in the inside covers of their textbook. The problems involve integrating various functions, including trigonometric functions and logarithmic functions, and some involve limits as well. Useful for students in calculus or advanced mathematics courses who need practice with integration.
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Additional HW problems, due October 3, 2005
Do the following problems using the integral table in the inside covers of
the book.
sin
6 θ dθ
(x^2 − 3) log(2x) dx
(y^2 − 3) log(2 + y) dy
∫ (^) dx x^2 +4x+
x^3 e^3 x^ dx
sin
3 (3u) cos^3 (3u) du
(s + 1)
2 s + 1
ds
∫ (^) t (^2) + t^2 − 1 dt
re^2 r
2 cos(2r^2 ) dr
0 sin(mπx) sin(nπx)^ dx^ where^ m^6 =^ n.
(Remark: integral # 10 is useful in Fourier analysis, where one learns to
express arbitrary periodic functions as sums of sin and cos functions.)