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.

Answer and Explanation: 1

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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...

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Integration Problems in Calculus: Solutions & Examples

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Chapter 13 / Lesson 13
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