141Ex1SampleD - MATH 141 EXAM 1 SAMPLE D Z \u03c0\/2 1 Evaluate the integral 0 a \u03c0 4 b 1 \u03c0 \u22121 4 \u03c0 d 2 \u03c0 e \u22121 2 c \u221a Z 2 Evaluate 0 a 1 ln 2 4 1

# 141Ex1SampleD - MATH 141 EXAM 1 SAMPLE D Z u03c0/2 1...

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MATH 141 EXAM 1, SAMPLE D PAGE 2 1. Evaluate the integral Z π/ 2 0 sin( x ) 1 + cos 2 ( x ) dx . a) π 4 b) 1 c) π 4 - 1 d) π 2 e) π 2 - 1 2. Evaluate Z 2 4 0 arcsin 2 x 1 - 4 x 2 dx . a) 1 4 ln 2 b) 1 16 c) π 2 4 d) π 2 64 e) π 16
MATH 141 EXAM 1, SAMPLE D PAGE 3 3. Compute5 sin5xcos3x dx. Z a)56sin6x-58sin8x+Cb)56cos6x-58cos8x+Cc) 25 sin4xcos3x-15 sin5xcos2x+Cd)524sin6xcos4x+Ce)56sin6xcos3x+54sin5xcos4x+CZ 4. Compute2xe-3xdx.
MATH 141 EXAM 1, SAMPLE D PAGE 4 5. Compute5 6. After an appropriate trigonometric substitution, the integralx2x2+ 16dxcan be trans-formed into which of the following integrals?
MATH 141 EXAM 1, SAMPLE D PAGE 5