# Compute the following two integrals: a) integral fraction {1}{1 + cos (x)} dx b) integral^1_0...

## Question:

Compute the following two integrals:

{eq}\displaystyle a) \ \int \frac {1}{1 + cos (x)} \ dx \\ \displaystyle b) \ \int^1_0 \frac {1}{ x^{\frac {1}{2}} + 1} \ dx {/eq}

## Definite Integral:

The definite integral is that type of integration in which both upper and lower limits are given.

A definite integral has both a starting and ending points.

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a) Given

{eq}\int \dfrac {1}{1 + cos (x)} \ dx \\ {/eq}

We 'll have to solve this integral.

{eq}\begin{align} \int \frac {1}{1 + cos (x)} \ dx...