5.5: Integrals Involving Exponential and Logarithmic Functions

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Apr 30, 2024
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- 5.4: Substitution
- Chapter 6: Parametric Equations and Polar Coordinates

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Compute $\displaystyle \int e^x\ dx$ .
Compute $\displaystyle \int_0^1 e^{2x}\ dx$ .
Compute $\displaystyle \int \dfrac{1}{x}\ dx$ .
Compute $\displaystyle \int_1^e \dfrac{3}{5x}\ dx$ .
Compute $\displaystyle \int x e^{x^2}\ dx$ .
Compute $\displaystyle \int_{1-e}^0 \dfrac{1}{1 - x}\ dx$ .
Compute $\displaystyle \int \dfrac{1}{x^2}\ dx$ .
Compute $\displaystyle \int_{1}^{e^2} \dfrac{\ln x}{x}\ dx$ .
Compute $\displaystyle \int \dfrac{dx}{x \ln x}\ dx$ .
Compute $\displaystyle \int_0^{\pi/3} \tan x\ dx$ .
Compute $\displaystyle \int e^x\sqrt{1 + e^x}\ dx$ .
Compute $\displaystyle \int e^{\sin x}\cos x\ dx$ .
Compute $\displaystyle \int_1^5 \dfrac{e^{\ln x}}{x}\ dx$ .
Compute $\displaystyle \int \dfrac{e^{\ln x}}{x}\ dx$ .

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