# Indefinite integral examples

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a. 1 Example; 2 Uses and properties; 3 Techniques of integration . Indefinite Integrals Previous Section, Next Section Substitution Rule for Indefinite exclusively on notation, concepts and properties of the indefinite integral.Example Problem: $\displaystyle\int_{}^{} -2x-5\ dx$. Step-By-Step Solution: Since integration is linear, the integral of with respect to is . Since is constant with  . Oct 28, 2014 . The indefinite integral is an antiderivative of a function.. There are infinitely many other antiderivatives which would also work, for example:.Evaluate the following integrals: Example 1: ∫ 2 x 3 + 5 x 2 − 4 x 2 d x. Example 2: ∫ ( x 4 − 5 x 2 − 6 x ) 4 ( 4 x 3 − 10 x − 6 ) d x. Example 3: ∫ ( 1 + y ) y 1 / 2 d y.Nov 2, 2010 . This is part of a series of videos I've made for my calculus class at The Putney School in Putney, VT. In this video, I find the antiderivatives of . Jan 1, 2011 . Visit http://MathMeeting.com for free videos on indefinite integrals and all. Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral .

Jan 1, 2011 . Visit http://MathMeeting.com for free videos on indefinite integrals and all. Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral . In this example we will have to use integration by parts twice.. Now to calculate the last integral we use integration by parts again.It's something called the "indefinite integral".. I'm kinda confused here, if anyone can give an example and a detailed explanation I would really appreciate it.Examples. Since the derivative of x<sup>2</sup>+4 is 2x, an antiderivative of 2x is x<sup>2</sup>+4. Since the and we read it as "the indefinite integral of f(x) with respect to x" Thus,  .
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In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a. 1 Example; 2 Uses and properties; 3 Techniques of integration . Indefinite Integrals Previous Section, Next Section Substitution Rule for Indefinite exclusively on notation, concepts and properties of the indefinite integral.Example Problem: $\displaystyle\int_{}^{} -2x-5\ dx$. Step-By-Step Solution: Since integration is linear, the integral of with respect to is . Since is constant with  . Oct 28, 2014 . The indefinite integral is an antiderivative of a function.. There are infinitely many other antiderivatives which would also work, for example:.Evaluate the following integrals: Example 1: ∫ 2 x 3 + 5 x 2 − 4 x 2 d x. Example 2: ∫ ( x 4 − 5 x 2 − 6 x ) 4 ( 4 x 3 − 10 x − 6 ) d x. Example 3: ∫ ( 1 + y ) y 1 / 2 d y.Nov 2, 2010 . This is part of a series of videos I've made for my calculus class at The Putney School in Putney, VT. In this video, I find the antiderivatives of . In this example we will have to use integration by parts twice.. Now to calculate the last integral we use integration by parts again.It's something called the "indefinite integral".. I'm kinda confused here, if anyone can give an example and a detailed explanation I would really appreciate it.Examples. Since the derivative of x<sup>2</sup>+4 is 2x, an antiderivative of 2x is x<sup>2</sup>+4. Since the and we read it as "the indefinite integral of f(x) with respect to x" Thus,  .