# Worksheet: Integrals Resulting in Inverse Trigonometric Functions

In this worksheet, we will practice evaluating integrals resulting in inverse trigonometric functions, such as ∫ 1 / (1+x²) dx.

Q1:

Find the most general antiderivative of the function .

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Q2:

Evaluate .

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Q3:

Find the most general antiderivative of the function .

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Q4:

What is the antiderivative of that satisfies ?

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Q5:

Determine the function such that , and .

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Q6:

Solve the differential equation for given that .

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Q7:

Solve the differential equation for given that .

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Q8:

Find .

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Q9:

Evaluate .

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Q10:

Evaluate .

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Q11:

Evaluate .

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Q12:

Evaluate .

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Q13:

Evaluate .

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Q14:

Evaluate .

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Q15:

Evaluate .

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Q16:

Find .

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Q17:

Evaluate .

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Q18:

Evaluate .

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Q19:

Find .

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Q20:

Evaluate .

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Q21:

Evaluate .

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Q22:

Evaluate .

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