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Example using trig substitution (and trig identities) to solve an integral.
Calculus II - Integrating with Special Substitutions; Rational functions with sine and cosines: Karl Weistrass method
Finding the derivative of a simple rational function by the limit definition.
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When you're unable to factor out a common factor from each term, sometimes it is better to group certain terms together and factor out a common factor individually from the terms. You would have to group the terms in a way that would allow it to be factored.
Introduces basic trig identities, including reciprocal, ratio, Pythagorean, and even/odd identities.
Shows steps for proving (or verifying) Trigonometric Identities; Youtube videos by Julie Harland are organized at yourmathgal.com
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calculus-without-limits.com Trig substitution example shows how to solve problems involving sqrt(a^2 - x^2). This integration technique gives students nightmares the world over, but its really not as bad as you think once someone shows you how to do it. For more examples and our book with step-by-step calculus homework solutions visit our website.
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Examples showing how to use integration by parts to integrate inverse trig functions. calculus-without-limits.com
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We can use the fundamental identities to prove other identities. Mr. Fjelstrom's benchmark 3.2 and CA Trig standard 3.0.
We take a derivative of a function using thequotient rule of derivatives.
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Videos by Julie Harland yourmathgal.com This is part 2 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. This is an introduction to a sneaky way of finding one correct factor using the product approach, and from that, easily finding the other factor
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Graphing a quadratic function by writing the function in vertex form by completing the square. Finding the zeros, finding the y-intercept and using the axis of symmetry are also used.
Handle any emergency with Howcast's First Aid app - howc.stExpand the description and view the text of the steps for this how-to video. Check out Howcast for other do-it-yourself videos from stevenkittinger and more videos in the Mathematics Tests category. You can contribute too! Create your own DIY guide at www.howcast.com or produce your own Howcast spots with the Howcast Filmmakers Program at www.howcast.com Factoring is the opposite of distributing. If you can find a common factor, you can reduce an expression. To complete this How-To you will need: A polynomial A pencil Paper Step 1: Find the greatest common factor Look at the expression and find the greatest common factor for each term. For the expression 2×2 + 4x, both terms contain factors of 2 and factors of x. Step 2: Factor out greatest common factor Remove the largest factors common shared by each term -- 2 and x -- and place them outside a set of empty parentheses. Step 3: Determine what GCF is multiplied with Determine the greatest common factor of each term of the expression. In the example, it's 2×. Then, determine what it is multiplied with to equal the original two terms and place those terms inside the parentheses. 2x times x equals 2×2, and 2x times 2 equals 4×. Tip: Remember the distributive law ab + ac = a(b + c). Step 4: Find the difference of squares Finding the difference of two squares is another type of factoring. In the expression x2 -- 4, x2 is the square of x and 4 is the square of 2. Step 5 <b>...</b>
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PLEASE SUBSCRIBE!!!!!!! Check out my BLOG at drewbutcher.wordpress.com where all the videos are much better organized by topic. Evaluate ∫1/(x^3-1) dx www.youtube.com - Integral Formula for ∫du/(u^2+a^2) Part 1 www.youtube.com - Integral Formula for ∫du/(u^2+a^2) Part 2
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Part 1 of a tutorial on how to use trig substitution to solve integration calculus problems. We forgot to explain some things in this part, so tune in to part 3 for corrections Created by Nathan Roberts and Parker Quinn for 12th grade calculus class, 2010
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