Textbook Question
Arc length:
Find the length of the curve y = x², 0 ≤ x ≤ √3/2.
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Arc length:
Find the length of the curve y = x², 0 ≤ x ≤ √3/2.
Evaluate the integrals in Exercises 1–24 using integration by parts.
∫ 4x sec²(2x) dx
Evaluate the integrals in Exercises 1–24 using integration by parts.
∫(from 1 to e) x³ ln(x) dx
Evaluate the integrals in Exercises 1–14.
∫ √(y² - 25) / y³ dy, where y > 5
Use the substitution u = tan x to evaluate the integral
∫ dx / (1 + sin² x).
Expand the quotients in Exercises 1–8 by partial fractions.
(t⁴ + 9) / (t⁴ + 9t²)