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You've uploaded an image with a list of integrals for selection and solving. Let's break down and solve six integrals that you might find interesting from the image. If you have any preferences, feel free to specify them. Otherwise, I'll proceed with choosing six integrals randomly and solve them step by step.

I'll pick the following integrals for now:

1. \(\int (x + 7) \, dx\) [#15]
2. \(\int (x^3 - 1) \, dx\) [#18]
3. \(\int (x^2 + 2x + 1) \, dx\) [#22]
4. \(\int (3x - 1) \, dx\) [#21]
5. \(\int 3x e^x \, dx\) [#26]
6. \(\int x^4 \, dx\) [#31]

Let's solve them now!

Dado los siguientes ejercicios seleccionar 6 que sean de mi agrado, integrarles según ejemplos resueltos en clases.

Explore step-by-step solutions for selected integrals from a list of calculus exercises, covering essential concepts like the power rule and exponential functions. Suitable for Grades 10-12 students learning calculus.

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