Second Fundamental Theorem and Chain Rule
Let F be the function defined by F(x) = ∫₀^(sin²x) √(1+t³) dt. What is the value of F’(π/4)?
A
√(1+(1/2)³) · cos(π/2)
B
√(1+sin⁶(π/4)) · sin(π/2)
C
√(1+(sin²(π/4))³) · 2sin(π/4)cos(π/4)
D
√(1+(sin²(π/4))³) · sin(2π/4)
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