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0. Review Problems

# 0. Review Problems - Some Review Problems Here are some...

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Some Review Problems Here are some differentiation and integration problems. You should also review your notes from the first two calculus courses. Please email me if you find any errors in the solutions. QUESTIONS 1. Find the derivative of f ( x ) = sin( x 2 + x ) + 2. 2. Find the derivative of f ( x ) = 2 xe sin x . 3. Find the derivative of f ( x ) = cos(tan x 2 ). 4. Find the derivative of f ( x ) = x + 1 x - 1 . 5. Find the derivative of f ( x ) = x 2 1 + t 3 dt . 6. Find the derivative of f ( x ) = x 2 2 1 + t 3 dt . 7. Find π/ 2 0 sin( x ) dx . 8. Find 3 t 4 + t 2 + t t t dt . 9. Find 3 x 2 x 3 + 1 dx . 10. Find xe - x dx . 11. Find x 3 sec 2

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