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Integrate each of the given functions.$$\int 4 e^{2 x+5} d x$$

$2 e^{2 x+5}+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Integrals

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:46

Use substitution to find e…

01:28

Evaluate each integral.

01:37

Evaluate each definite int…

00:56

Find each integral.$$\…

01:54

evaluate using Integration…

01:46

Evaluate the integrals usi…

03:11

00:49

Find the indefinite integr…

02:35

05:44

Yeah we want to integrate the following expression. The Andrew of four. Eat the two X plus five detox. This question is testing our knowledge of methods of integration. We've already learned the power rule for integration and log arrhythmic integration in this section we're being evaluated on our newfound knowledge of what is known as exponential integration. Exponential integration states that the integral and eating pudu is either the U. Plus C. So if we're going to defy you and D you in this particular problem we can go ahead and solve so since you is raised to the exponential power A. It must hold that us to expose five do us to dx that are integral has an extra factor of two. We must carry into the final answer. And we have by exponential integration that our solution is to either you D. You or to each of the two X plus five plus C.

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Use substitution to find each indefinite integral.$$\int \frac{e^{2 x}}{…

Evaluate each integral. $$\int_{1}^{5} y e^{4 x+y^{2}} d x$$

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Find each integral.$$\int x^{4} \sec x^{5} \tan x^{5} d x$$

evaluate using Integration by Parts.$$\int x e^{5 x+2} d x$$

Evaluate the integrals using integration by parts.$$\int\left(x^{2}-…

Evaluate the integrals using integration by parts.$$\int\left(x^{2}-5 x\…

Find the indefinite integrals.$$\int\left(x^{2}+4 x-5\right) d x$$

Evaluate the integrals using integration by parts.$$\int x^{5} e^{x}…

Evaluate the integrals using integration by parts.$$\int x^{5} e^{x} d x…

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