For a more conceptual introduction leaning on using computers, whose goal was getting STEM students up to speed to understand the context of work in their vario

For a more conceptual introduction leaning on using computers, whose goal was getting STEM students up to speed to understand the context of work in their various fields, you might enjoy https://www.science.smith.edu/~callahan/intromine.html https://www.science.smith.edu/~callahan/intromine.html For something more traditional, take a look at textbooks by Piskunov, Courant, or Apostol. Spivak's Calculus has excellent problems if you are looking for something more abstract and rigorous (probably better after a first course). https://archive.org/details/n.-piskunov-differential-and-integral-calculus-mir-1969 https://archive.org/details/n.-piskunov-differential-and-int... ; https://archive.org/details/ost-math-courant-differentialintegralcalculusvoli https://archive.org/details/ost-math-courant-differentialint... ; https://archive.org/details/calculus-tom-m.-apostol-calculus-volume-1-2nd-edition-proper.-1-john-wiley-sons-inc.-1991/%28Calculus%29%20Tom%20M.%20Apostol%20-%20Calculus%2C%20Volume%201%2C%202nd%20Edition%20%28PROPER%29.%201-John%20Wiley%20%26%20Sons%2C%20Inc.%20%281991%29/ https://archive.org/details/calculus-tom-m.-apostol-calculus... ; https://archive.org/details/introductory-calculus-book-collection/Spivak%2C%20Michael%20-%20Calculus-Publish%20or%20Perish%2C%20Inc.%20%282008%29%281%29/page/n7/mode/2up https://archive.org/details/introductory-calculus-book-colle... Finally, if you want a strategy for those tricky integrals, per se, take a look at Schoenfeld's "Integration: Getting it All Together", https://files.eric.ed.gov/fulltext/ED214787.pdf https://files.eric.ed.gov/fulltext/ED214787.pdf ; some results of teaching the solution of integrals by this method were presented in https://www.jstor.org/stable/2320344 https://www.jstor.org/stable/2320344