The following integral can be evaluated by using substitution: a) b) Identify the inside function. u= x^4+1 Differentiate: 4x^3 47³ Make dr the subject: dz Rewrite the whole integral in terms of u and du: f Simplify and cancel I's: Integrate with respect to u: 3/2 149 3 N/W * du +1 ✔ 149 x √= 3x^3 sqrt(u) 3x³ √2¹ +1 dz du 4x^3
The following integral can be evaluated by using substitution: a) b) Identify the inside function. u= x^4+1 Differentiate: 4x^3 47³ Make dr the subject: dz Rewrite the whole integral in terms of u and du: f Simplify and cancel I's: Integrate with respect to u: 3/2 149 3 N/W * du +1 ✔ 149 x √= 3x^3 sqrt(u) 3x³ √2¹ +1 dz du 4x^3
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.2: Substitution
Problem 31E: Use substitution to find each indefinite integral.
e2xe2x+5dx
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answer part A last part ,tow part in part b and part c . thanks
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