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- Integral calculus bores and frustrates me to nearly to sleep, but differential calculus is, to me, much more interesting and fun. Are there any mathematicians (at any education level) that hate doing integrals by hand?

Solving integrals by hand is difficult and prone to errors, and the techniques such as integration by parts, partial fraction decomposition, and trig substitutions only work for a small subset of integrals and I do not see the point of avoiding technology like Wolfram Mathematica for mathematical research. Is it important for mathematicians in general to have the ability to solve difficult integrals by hand, under pressure, like the students in the MIT integration bees and my calculus professor?

(I have a BA in mathematics and am starting a master's in applied mathematics this fall.)

(I have a BA in mathematics and am starting a master's in applied mathematics this fall.)