2.99 See Answer

Question: Evaluate the following integrals using techniques


Evaluate the following integrals using techniques studied thus far.
∫ (x2 - x sin 2x) dx


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> Find the present worth for the following cash flow series (in $1000 units). i = 6% per year 100 2 3 لها 4 200 200 5 6 7 8 Year 90 90 90 90

> For the cash flows shown in the diagram, determine the value of x and 2x that will make the future worth in year 8 equal to $100,000. i = 10% per year

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> For the cash flows shown, calculate the future worth in year 9 using i = 10% per year. Year 0 1 2 3 4 5 6 Cash Flow, $ 200 200 200 200 300 300 300

> For the cash flows shown, find the future worth in (a) year 5, and (b) year 4. Assume an i of 10% per year. Year Cash Flow, $ 0 1 0 0 2 3 4 3000 3000 3000 5 3000

> A manufacturer of industrial grade gas handling equipment wants to have $500,000 in an equipment replacement contingency fund 10 years from now. If the company plans to deposit a uniform amount of money each year beginning now and continuing through year

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> Evaluate the following definite integrals. ∫0 11 / (1 + 2x)4 dx

> Evaluate the following definite integrals. ∫3 5 x √(x2 – 9) dx

> Evaluate the following definite integrals. ∫0 1 x (3 + x)5 dx

> Evaluate the following definite integrals. ∫0 3 x / (2x + 1) dx

> Evaluate the following definite integrals. ∫0 1 2x / √(x2 + 1) dx

> Evaluate the following integrals: ∫ x / ex dx

> Evaluate the following integrals: ∫ x (2x - 3)2 dx

> Evaluate the following integrals: ∫ x (x + 7)4 dx

> Evaluate the following integrals: ∫ x ex/2 dx

> Evaluate the following integrals: ∫ x e5x dx

> Determine the integrals by making appropriate substitutions. ∫ 1/√(2x + 1) dx

> Evaluate ∫x7 ex4 dx.

> Evaluate ∫x ex (x + 1)2 dx using integration by parts.

> Figure 2 shows graphs of several functions f (x) whose slope at each x is x / ex/3. Find the expression for the function f (x) whose graph passes through (0, 6). Figure 2: ม (0, 6)

> Figure 1 shows graphs of several functions f (x) whose slope at each x is x/√(x + 9). Find the expression for the function f (x) whose graph passes through (0, 2). Figure 1: Y (0, 2)

> Evaluate the following integrals using techniques studied thus far. ∫ (x ex2 - 2x) dx

> Evaluate the following integrals using techniques studied thus far. ∫ (x3/2 + ln 2x) dx

> Evaluate the following integrals using techniques studied thus far. ∫ (x e2x + x2) dx

> Evaluate the following integrals using techniques studied thus far. ∫ ln x / x5 dx

> Evaluate the following integrals using techniques studied thus far. ∫ x sec2 (x2 + 1) dx

> Determine the integrals by making appropriate substitutions. ∫ (1 + ln x)3 / x dx

> Evaluate the following integrals using techniques studied thus far. ∫ (ln x)5 / x dx

> Evaluate the following integrals using techniques studied thus far. ∫ (3x + 1) ex/3 dx

> Evaluate the following integrals using techniques studied thus far. ∫ 4x cos (x + 1) dx

> Evaluate the following integrals using techniques studied thus far. ∫ x (x2 + 5)4 dx

> Evaluate the following integrals using techniques studied thus far. ∫ 4x cos (x2 + 1) dx

> Evaluate the following integrals using techniques studied thus far. ∫ x (x + 5)4 dx

> Evaluate the following integrals: ∫ ln √(x + 1) dx

> Evaluate the following integrals: ∫ x2 e-x dx

> Evaluate the following integrals: ∫ ln (ln x) / x dx

> Evaluate the following integrals: ∫ ln x4 dx

> Determine the integrals by making appropriate substitutions. ∫ x √(4 - x2)dx

> Evaluate the following integrals: ∫ x-3 ln x dx

> Evaluate the following integrals: ∫ x ln 5x dx

> Evaluate the following integrals: ∫ x sin 8x dx

> Evaluate the following integrals: ∫ x cos x dx

> Evaluate the following integrals: ∫ x5 ln x dx

> Evaluate the following integrals: ∫ √x ln √x dx

> Evaluate the following integrals: ∫ x √(2 – x) dx

> Evaluate the following integrals: ∫ x √(x + 1) dx

> Evaluate the following integrals: ∫ (x + 2) / e2x dx

> Evaluate the following integrals: ∫ 6x /e3x dx

> Determine the integrals by making appropriate substitutions. ∫ 2xe-x2 dx

> Evaluate the following integrals: ∫ (1 + x)2 e2x dx

> Evaluate the following integrals: ∫ e2x (1 - 3x) dx

> Evaluate the following integrals: ∫ x / √(3 + 2x) dx

> Evaluate the following integrals: ∫ x / √(x + 1) dx

> Evaluate the following integrals: ∫ x2 ex dx

> Determine ∫ 2x (x2 + 5) dx by making a substitution. Then, determine the integral by multiplying out the integrand and antidifferentiating. Account for the difference in the two results.

> Determine the following integrals by making an appropriate substitution. ∫ tan x sec2 x dx

> Determine the following integrals by making an appropriate substitution. ∫ (sin x + cos x) / (sin x - cos x) dx

> Determine the following integrals by making an appropriate substitution. ∫cot x dx

> Determine the following integrals by making an appropriate substitution. ∫ cos 3x / (12 - sin 3x) dx

> Determine the integrals by making appropriate substitutions. ∫ 3x2e(x3-1) dx

> Determine the following integrals by making an appropriate substitution. ∫ (sin 2x) ecos 2x dx

> Determine the following integrals by making an appropriate substitution. ∫cos3 x sin x dx

> Determine the following integrals by making an appropriate substitution. ∫cos x / (2 + sin x)3 dx

> Determine the following integrals by making an appropriate substitution. ∫cos √x / √x dx

> Determine the following integrals by making an appropriate substitution. ∫ 2x cos x2 dx

> Determine the following integrals by making an appropriate substitution. ∫sin x cos x dx

> Determine the following integrals using the indicated substitution. ∫ (1 + ln x) sin(x ln x)dx; u = x ln x

> Determine the following integrals using the indicated substitution. ∫ x sec2 x2 dx; u = x2

> Determine the following integrals using the indicated substitution. ∫ x4 / (x5 – 7) ln(x5 - 7) dx; u = ln(x5 - 7)

> Determine the following integrals using the indicated substitution. ∫ (x + 5)-1/2 e√(x+5) dx; u = √(x+5)

> Determine the integrals by making appropriate substitutions. ∫ (x2 + 2x + 3)6(x + 1) dx

> Figure 2 shows graphs of several functions f (x) whose slope at each x is (2√x + 1)/ √x. Find the expression for the function f (x) whose graph passes through (4, 15). Figure 2: 15 10 5 0 Y 2 (4, 15) 4

2.99

See Answer