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Q: Determine the integrals by making appropriate substitutions. ∫ 1/√(

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

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Q: Evaluate ∫x7 ex4 dx.

Evaluate ∫x7 ex4 dx.

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Q: Evaluate ∫x ex (x + 1)2 dx

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

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Q: Figure 2 shows graphs of several functions f (x) whose

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:

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Q: Figure 1 shows graphs of several functions f (x) whose

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:

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Q: Evaluate the following integrals using techniques studied thus far. ∫

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

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Q: Evaluate the following integrals using techniques studied thus far. ∫

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

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Q: Evaluate the following integrals using techniques studied thus far. ∫

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

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Q: Evaluate the following integrals using techniques studied thus far. ∫

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

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Q: Evaluate the following integrals using techniques studied thus far. ∫

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

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