| № |
Condition |
free/or 0.5$ |
| m53666 | Evaluate
by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area. |
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| m53667 | Evaluate (ex / x dx as an infinite series? |
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| m53668 | Evaluate (log2 3) (log3 4) (log4 5) ··· (log31 32). |
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| m53669 | Evaluate sin(a + 2x) - 2 sin(a + x) + sin a/x2. |
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| m53670 | Evaluate sin(a + 2x) - 2 sin(a + x) + sin a/x2. |
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| m53671 | Evaluate the definite integral.
a.
b.
c. |
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| m53672 | Evaluate the difference quotient for the given function. Simplify your answer.
F(x) = 4 + 3x - x2, f(3 + h) - f(3)/h |
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| m53673 | Evaluate the following limits, if they exist, where [x] denotes the greatest integer function. |
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| m53674 | Evaluate the indefinite integral.
a. ∫ x sin(x2) dx
b. ∫ (1-2x)9 dx
c. ∫ (x+1) √(2x + x2) dx |
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| m53675 | Evaluate the indefinite integral as a power series. What is the radius of convergence?
a.
b. |
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| m53676 | Evaluate the indefinite integral as an infinite series.
a.
b. |
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| m53677 | Evaluate the indefinite integral. Illustrate and check that your answer is reasonable by graphing both the function and its antiderivative (take C = 0).
a. ∫ x(x2 -1)3 dx
b. ∫ ecosx sin x dx |
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| m53678 | Evaluate the indefinite integral. Illustrate and check that your answer is reasonable by graphing both the function and its antiderivative (take C = 0) |
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| m53679 | Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its anti derivative (take C = 0).
a. ∫xe-2x dx
b. ∫ x3 √(1+x2) dx |
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| m53680 | Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the integrand and its anti derivative (taking C = 0).
a. ∫ x sin2 (x2) dx
b. ∫ sin3x sin 6x dx |
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| m53681 | Evaluate the indefinite integral. Illustrate and check that your answer is reasonable by graphing both the function and its antiderivative (take C = 0). |
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| m53682 | Evaluate the integral.
a.
b. |
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| m53683 | Evaluate the integral.
a.
b.
c. |
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| m53684 | Evaluate the integral.
a.
b.
c. |
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| m53685 | Evaluate the integral.
a.
b.
c. |
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