During examination it is not possible to revise complete book. So, we have come up with quick revision notes which include important terms and formulae. This unit notes is very useful for UPSEE, WBJEE and other state level engineering entrance examination because in these examinations questions are generally asked on formula basis.

Find **Integral Calculus** important formulae for Quick Revision which will be helpful during various engineering entrance examinations such as: IIT JEE, UPSEE & WBJEE. This revision notes includes chapters – Indefinite Integral, Definite Integral.

**Indefinite Integration**

Below are given some standard formulae of indefinite integration:

These are some basic algebraic and trignometric indefinite integration formulae which are used very frequently in questions. They are either used directly or indirectly in questions.

These trigonometric indefinite integration are very important. The indefinite integration of hyperbolic function is also very important. The hyperbolic function are sinh, cosh, tanh, csch, coth and sech.

**UPSEE 2017 Solved Sample Paper Set-1**

**Techniques of Integration**:

**(1) Integration by Substitution**

In this method we substitute a suitable function so that the later integral is easier to integrate.

**(2) Integration by Parts**

where u and v are differentiable function

**(3) Integration using partial fractions**

In this method we split bigger function into smaller function by known methods.

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**Integration of Types**

Definite integral is used to find the area bounded by two curves or the curve with coordinate axes.