Choosing a Formula In Exercises 5–14, select the basic integration formula you can use to find the indefinite integral, and identify u and a when appropriate. Do not integrate.

∫ 2 ( 2 t − 1 ) 2 + 4 d t

Q: Expert Answer

To determine To calculate: The basic integral formula to find indefinite integral ∫ 2 ( 2 t − 1 ) 2 + 4 d t and identify u and a . Explanation Explanation: Given: ∫ 2 ( 2 t − 1 ) 2 + 4 d t Formula used: The basic integration formula: ∫ 1 u 2 + a 2 d x = 1 a arctan ( u a ) + c Calculation: Consider the integral: ∫ 2 ( 2 t − 1 ) 2 + 4 d t Take 4 as common in denominator: ∫ 2 ( 2 t − 1 ) 2 + 4 d t = ∫ 2 4 [ ( t − 1 2 ) 2 + 1 ] d t = ∫ 1 2 [ ( t − 1 2 ) 2 + 1 ] d t = 1 2 ∫ 1 ( t − 1 2 ) 2 + (

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Choosing a Formula In Exercises 5–14, select the basic integration formula you can use to find the indefinite integral, and identify u and a when appropriate. Do not integrate. ∫ 2 ( 2 t − 1 ) 2 + 4 d t

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Calculus Calculus 10th Edition

Choosing a Formula In Exercises 5–14, select the basic integration formula you can use to find the indefinite integral, and identify u and a when appropriate. Do not integrate.

∫ 2 ( 2 t − 1 ) 2 + 4 d t