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Chapter 4: Q. 33 (page 373)

Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.

鈭�01鈥�12exdx

Short Answer

Expert verified

Ans: The exact value of鈭�01鈥�12exdx=鈭�12e+12

Step by step solution

01

Step 1. Given information.

given,

鈭�01鈥�12exdx

02

Step 2. The objective is to determine the exact value of the definite integral.   

The exact value is calculated as shown below,

鈭�01鈥�12exdx=12鈭�01鈥�1exdx=12鈭�01鈥�e鈭�xdx=12鈭�e鈭�x01=鈭�12e鈭�1鈭�e0=鈭�12e+12

Therefore, the exact value is, 鈭�12e+12

03

Step 3. Check

The required graph is,

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