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Integrals Requiring Multiple Techniques
Worksheet
Grade Level
Calculus II
CAL2.42 Integrals Requiring Multiple Techniques
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For ∫_0^(π/2) sin x cos x (sin
2
x)e^(sin
2
x) dx, which ordered plan is correct?
A
Use parts first with dv = e^(sin
2
x) dx.
B
Let u = sin
2
x, change bounds to 0 and 1, then integrate a constant multiple of ∫_0
1
u e
u
du by parts.
C
Let u = sin x, change bounds to 0 and 1, and treat cos x sin
2
x as constant.
D
Use partial fractions after converting sine and cosine to tangent.
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