ptest1 - PRACTICE TEST 1 FOR MATH1502KB(1 Compute the following indefinite integrals(a(b(2 Compute the following improper integrals x3 1 dx x2 3 1 dx

# ptest1 - PRACTICE TEST 1 FOR MATH1502KB(1 Compute the...

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PRACTICE TEST 1 FOR MATH1502KB (1) Compute the following indefinite integrals ( a ) x 3 + 1 x 2 + 3 dx , ( b ) 1 x 2 - x + 2 dx , (2) Compute the following improper integrals ( a ) -∞ e -| x | dx , ( b ) -∞ 1 e x + e - x dx , ( c ) e 1 dx x ln x (3) Are the following integrals convergent? Justify!(a) (4) Compute the Taylor expansion of degree 5 of the following functions at