Indefinite Integrals Resources
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The only way it'd be easier is if you could walk up to the integrand and just ask, "Whose derivative are you?" It'd make for a good photo op, too.
This is a cookbook of techniques used to solve more difficult integrals. If you tried to make hot tomato soup in a blender last night, this link won't be able to help your cooking skills.
There's nothing taboo about improper integrals. This sheet will show you how to tackle them. You'll be so good your fans will rush the field when you're finished.
Not you-substitution, but it'd work as well if you replaced the integration variable with a picture of yourself. This link demonstrates the simplest of the integration tricks.
You can either lay your head on a pillow at night, or you can use it in a pillow fight with your roommate. Likewise, you can use sine, cosine, and tangent for more than just trigonometry. Learn how to use them to solve integrals.
When you were young, your mom probably yelled at you when you took the dishwasher apart and couldn't put it back together. Don't worry. Integration by parts isn't nearly as messy.
The idea of partial fractions sounds something like seeing a pair of legs walking around without a torso or head. Learn how to use the method of partial fractions to solve integrals.
Some improper integrals are well behaved. Others are deviants. You'll learn how to distinguish between the angels and the devils in this video.
Games and Tools
Don't be fooled. Every scientist and engineer uses a table of integrals when they need to solve a tough problem. Here's a link to a table of the most common integrals and a few freaks.
It's your birthday. Have your cake and eat it, too. Check your work with this indefinite integral calculator.