# Determine the following indefinite integral. {eq}\displaystyle \int 7 x e^{\displaystyle 3x^2 + 2}\ dx {/eq}

## Question:

Determine the following indefinite integral.

{eq}\displaystyle \int 7 x e^{\displaystyle 3x^2 + 2}\ dx {/eq}

## Integration:

Calculating an integral is called integration. Mathematicians utilise integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc. For antiderivatives, indefinite integrals are utilised. When we discuss integrals, we often refer to definite integrals.

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Given:

• We have given the function as {eq}7x{{e}^{3{{x}^{2}}+2}}{/eq}.

• The objective is to find the integration of given function.

Now,

{eq...