Calculus Volume 1

842

Answer Key

The antiderivative is sin −1 ⎛ ⎝ x 3 ⎞

π 2 recovers the definite integral.

⎠ + C . Taking C =

409 .

−1 ⎛

⎞ ⎠ recovers the definite integral.

−1 ⎛

⎞ ⎠ + C . Taking C = 1

⎝ sin(6) 2

⎝ sin x 2

The antiderivative is 1

2 tan

2 tan

2

⎛ ⎝ sin −1 t

⎞ ⎠

411 . 1 2 413 . 1 4 415 . 1 4

+ C

2

⎛ ⎝ tan −1 (2 t ) ⎞ ⎠

⎛ ⎝ ⎜ sec −1

2 ⎞ ⎠

⎛ ⎝ t

⎞ ⎠

⎟ + C

2

417 .

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