Give the appropriate trigonometric substitution for ? 1 ? x 2 dx x = tan ( ? ) x

Question

Give the appropriate trigonometric substitution for ? 1 ? x2 dx

x = tan (? )

x = sin (? )

x = sec (? )

x = e?

2. Give the appropriate trigonometric substitution for ? 1 + x2 dx

x = tan (? )

x = sin (? )

x = sec (? )

x = e?

3. Give the appropriate trigonometric substitution for ? x2 ? 1 dx

x = tan (? )

x = sin (? )

x = sec (? )

x = e?

4. Give the appropriate trigonometric substitution for ? 9 ? x2 dx .

x =3tan(?)

x = 3 sin (? )

x = 3sec(? )

x = 3e?

5. Give the appropriate trigonometric substitution for ? 9 + x2 dx  

x =3tan(?)

x = 9 tan (? )

x = 3sec(? )

x = 9 sec (? )

Give the appropriate trigonometric substitution for ? x2 ? 16 dx

x = 4 tan (? )

x = 4 sin (? )

x = 4 sec (? )

x =16sec?

7. Give the appropriate trigonometric substitution for ? 2x + 4 ? x2 dx

x ?1 = 3tan(? )

x?1= 3tan(?)

x ? 1 = 3 sin (? )

x?1= 3sin?

8.Give the appropriate trigonometric substitution for ? x2 ? 5x + 9 dx

Explanation / Answer

1.sin

2.tan

3.sec

4.3sin

5.3tan

6.4sec

7.3sin

8.x-5/2=sqrt11/2 tan

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