f is continuous, then show the integral from 0 to π of xf(sin(x)) dx = π/2 times the integral from zero to π of f(sin(x)) dx Hint: consider the substitution u = π − x and properties of sin
f is continuous, then show the integral from 0 to π of xf(sin(x)) dx = π/2 times the integral from zero to π of f(sin(x)) dx Hint: consider the substitution u = π − x and properties of sin
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 2E
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If f is continuous, then show
the
Hint: consider the substitution u = π − x and properties of sin.
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