Find an Antiderivative Of $\frac{5}{\left(a^{2}+x^{2}\right)^{3 / 2}}$
A) $\frac{10 x}{5\left(a^{2}+x^{2}\right)^{5 / 2}}+C$

question 12

Multiple Choice

Find an antiderivative of $\frac{5}{\left(a^{2}+x^{2}\right) ^{3 / 2}}$ .

• A) \(\frac{10 x}{5\left(a^{2}+x^{2}\right)^{5 / 2}}+C\)
• B) \(\frac{5 x}{a^{2} \sqrt{a^{2}+x^{2}}}+C\)
• C) \(\frac{5}{\sqrt{a^{2}+x^{2}}}+C\)
• D) \(\frac{10 x a^{2}}{\sqrt{a^{2}+x^{2}}}+C\)

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Definitions:

Fostering Growth

Supporting and encouraging development or expansion in a positive direction.

Empathy

Being able to grasp and sympathize with the emotional state of another individual.

Client-Centered Therapy

A form of psychotherapy developed by Carl Rogers that emphasizes providing a supportive and non-judgmental environment, where the client leads the conversation and healing process.

Reflect Feelings

The practice of recognizing, understanding, and acknowledging someone's emotional state by verbalizing it back to them, often used in empathetic communication.