hw01 - Homework # 1 Due: 7/18/06 1. Use the sum definition...

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Unformatted text preview: Homework # 1 Due: 7/18/06 1. Use the sum definition of an integral to evaluate 4 2 (x 0 + 2x − 3)dx 2. Use part 1 of the fundamental theorem of calculus to find the derivatives of the following functions: 1 dt 2 −3 t + t 1 √ 3 (b) g(x) = cos θdθ (a) g(x) = x x2 x (c) g(x) = −1000 sin x √ 1 + t3 dt (d) g(x) = 1/x2 √ ( t − tan t)dt 3. Evaluate the following definite integrals. You can use any method you like (Hint: use the FTC) 5 (a) −2 4 6dx 1 √ dx x dx (2x − 3)2 π (b) 1 2 (c) 0 √ (d) 0 x cos(x2 )dx 4. Evaluate the following indefinite inegrals. (a) (b) (c) (d) √ 4 x3 + √ 3 x4 dx y3 2y 4 − 1dx (1 + tan θ)5 sec2 θdθ x dx (x2 − 3)4.1 ...
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This note was uploaded on 02/29/2008 for the course MAT 142 taught by Professor Varies during the Spring '08 term at Lehigh University .

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