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Churchill Name Calculus AB Date Period Substitution Find the following indefinite integrals. Show work on your own paper. 1. cos 3x DX 2. Sin x DX 3. 5x 4 9 x5 9xdx 4. (1 2x 5. (3x 2 6. Y 7. E 8.
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How to fill out u-substitution
How to fill out u-substitution:
01
First, identify the integral that requires u-substitution.
02
Determine the appropriate substitution by selecting a term within the integral to replace with "u," such that the resulting integral becomes easier to solve.
03
Calculate the derivative of the chosen term to find du, which will be used to modify the integral.
04
Rewrite the integral using the substitution u and du.
05
Solve the integral employing the substitution method, simplifying it to a form that can be easily integrated.
06
Finally, evaluate the new integral and substitute back in the original variable if necessary.
Who needs u-substitution:
01
Individuals studying calculus or advanced mathematics often encounter u-substitution.
02
Students learning integration techniques will frequently employ u-substitution to simplify complex integrals.
03
Engineers, physicists, and other professionals may utilize u-substitution in solving differential equations or evaluating certain physical quantities.
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What is u-substitution?
U-substitution is a method used in calculus to simplify integrals by replacing a part of the integrand with a new variable.
Who is required to file u-substitution?
Those studying calculus or solving integrals may need to use u-substitution.
How to fill out u-substitution?
To fill out u-substitution, you need to identify a part of the integrand that can be simplified by substitution with a new variable, typically denoted as 'u'.
What is the purpose of u-substitution?
The purpose of u-substitution is to make the integration process easier by finding a simpler form of the integrand.
What information must be reported on u-substitution?
The new variable 'u' and its related differential information must be reported on a u-substitution.
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