 U-substitution with a Definite Integral (4-R p310 #67) When you use u-substitution with a definite integral, you don't have to switch back to make an expression in terms of x.  Since any definite integral is the signed area, it is just a number.  After finding the anti-derivative in terms of you, the FTC can be used to arrive at the answer. 

U-substitution with a Definite Integral (4-R p310 #67) When you use u-substitution with a definite integral, you don't have to switch back to make an expression in terms of x. Since any definite integral is the signed area, it is just a number. After finding the anti-derivative in terms of you, the FTC can be used to arrive at the answer.

&nbsp;U-substitution with a Definite Integral (4-R p310 #67) When you use u-substitution with a definite integral, you don't have to switch back to make an expression in terms of x. &nbsp;Since any definite integral is the signed area, it is just a number. &nbsp;After finding the anti-derivative in terms of you, the FTC can be used to arrive at the answer.&nbsp;

U-substitution with a Definite Integral (4-R p310 #67)

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U-substitution with a Definite Integral (4-R p310 #67)

U-substitution with a Definite Integral (4-R p310 #67)