Q: Evaluate the integral.
f x2 cos mx dx
Evaluate the integral.
f x2 cos mx dx
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Q: Evaluate the integral.
f ln 3√x dx
Evaluate the integral.
f ln 3√x dx
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Q: Suppose that for the tank in Exercise 19 the pump breaks down
Suppose that for the tank in Exercise 19 the pump breaks down after 4.7 × 105 J of work has been done. What is the depth of the water remaining in the tank?
Exercise 19:
A tank is full...
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Q: Evaluate the integral.
f sin3x cos2x dx
Evaluate the integral.
f sin3x cos2x dx
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Q: Use the substitution u = tan x to evaluate the integral.
Use the substitution u = tan x to evaluate the integral.
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Q: Evaluate the integral.
f arctan 4t dt
Evaluate the integral.
f arctan 4t dt
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Q: Use the substitution x = sec θ, where 0 < θ
Use the substitution x = sec θ, where 0
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Q: Use the substitution x = 2 tan θ, -π/
Use the substitution x = 2 tan θ, -π/2
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Q: (a). Verify, by differentiation, that f sec3θ dθ
(a). Verify, by differentiation, that f sec3θ dθ = 1/2 (sec θ tan θ+ ln |sec θ + tan θ|) + C
(b). Evaluate f10 √x2 + 1, dx.
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Q: Evaluate the integral.
f2√2 1/t3√
Evaluate the integral.
f2√2 1/t3√t2 - 1
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