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05 - Integration Substitution Inv Trig - Kuta Software
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05 - Integration Substitution Inv Trig - Kuta Software
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Kuta Software - Infinite Calculus. Name___________________________________. Period____. Date________________. Integratio
Kuta Software - Infinite Calculus
Name___________________________________
Integration by Substitution
Date________________ Period____
Evaluate each indefinite integral. Use the provided substitution. 1)
∫
3)
∫
20 x 3 25 − 25 x 8
dx; u = 5 x
4
2 ⋅ csc 2 2 x
−
cot (2 x) ⋅
cot 2 2 x − 1
dx; u = cot 2 x
2)
∫
4)
∫
6)
∫x
8)
∫
10 x 4 dx; u = 2 x 5 9 + 4 x 10
1 x 25 − (ln −2 x ) 2
dx; u = ln −2 x
Evaluate each indefinite integral. 5)
∫
9 − 16 x 4
7)
∫
10 x dx 16 + 25 x 4
8x
dx
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−
3x2 3
x6 − 1
dx
4sin 4 x
dx
9 − cos 2 4 x
Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus
Name___________________________________
Integration by Substitution
Date________________ Period____
Evaluate each indefinite integral. Use the provided substitution. 1)
∫
20 x 3 25 − 25 x 8 sin
3)
∫
−1
dx; u = 5 x
4
2)
∫
1 2x5 ⋅ tan −1 +C 3 3
5x4 +C 5
2 ⋅ csc 2 2 x
−
cot (2 x) ⋅
cot 2 2 x − 1
10 x 4 dx; u = 2 x 5 9 + 4 x 10
dx; u = cot 2 x
4)
∫
sec −1 cot 2 x + C
1 x 25 − (ln −2 x ) 2 sin −1
dx; u = ln −2 x
ln −2 x +C 5
Evaluate each indefinite integral. 5)
∫
8x 9 − 16 x 4 sin −1
7)
∫
dx
6)
∫x
4x2 +C 3
10 x dx 16 + 25 x 4 1 5x2 ⋅ tan −1 +C 4 4
3x2 3
x6 − 1
dx
sec −1 x 3 + C
8)
∫
4sin 4 x
−
dx
9 − cos 2 4 x sin −1
cos 4 x +C 3
Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC
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