Evaluate the given indefinite integrals.
a)
b)
c)

Ask by Martinez Gray. in the United States

Jan 22,2025

Question

Evaluate the given indefinite integrals. a) $$ \int x d x=\square+C $$ b) $$ \int a d x=\square+C $$ c) $$ \int t^{2} d x=\square+C $$

UpStudy AI · Accepted Answer

To evaluate the given indefinite integrals:

a)

b)

(where

is a constant)

c)

(here, if we consider

as a constant with respect to

)

Now, remember that when you’re integrating, it’s like reversing the process of differentiation! Keep practicing, and you’ll get the hang of it.

a) $$ \int x dx = \frac{x^2}{2} + C $$

b) $$ \int a dx = ax + C $$

c) $$ \int t^2 dx = \frac{t^3}{3} + C $$

Therefore, the solutions to the given indefinite integrals are:

a) $$ \int x dx = \frac{x^2}{2} + C $$

b) $$ \int a dx = ax + C $$

c) $$ \int t^2 dx = \frac{t^3}{3} + C $$
a) $$ \int x \, dx = \frac{x^2}{2} + C $$ b) $$ \int a \, dx = a x + C $$ c) $$ \int t^2 \, dx = \frac{t^3}{3} + C $$

Evaluate the given indefinite integrals.
a)
b)
c)

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Evaluate the given indefinite integrals. a) b) c)