Question

3. (10pts) Evaluate the INDEFINITE integral: $\int \frac{e^{2x}}{e^{2x} - 4e^x - 21} dx$ 4. (10pts) Evaluate the INDEFINITE integral: $\int \frac{1}{1 + \sqrt[3]{x}} dx$ [has a cube root of x]

          3. (10pts) Evaluate the INDEFINITE integral: $\int \frac{e^{2x}}{e^{2x} - 4e^x - 21} dx$
4. (10pts) Evaluate the INDEFINITE integral: $\int \frac{1}{1 + \sqrt[3]{x}} dx$ [has a cube root of x]

3. (10pts) Evaluate the INDEFINITE integral: ∫(e^2x)/(e^2x - 4e^x - 21) dx
4. (10pts) Evaluate the INDEFINITE integral: ∫(1)/(1 + √(x)) dx [has a cube root of x]

Added by Jodi R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

Step 1

The power rule states that the integral of x^n dx is equal to (x^(n+1))/(n+1) + C, where C is the constant of integration. In this case, the cube root of x can be written as x^(1/3). So, we can rewrite the integral as -∫(x^(1/3)) dx. Using the power rule, Show more…

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