How to make it easy to solve integral calculas problems?

is there any other way to solve those problems without formulas?

No there is not a single way in physics which can help you dove the calculus problems without the formulas.If you dont t know them, you can't achieve good marks in them.So try to make the formulas by heart.Best of luck for the competitive exam.I hope you will pass out with flying colours.                                                          Thank you