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Help with Integration by Parts!
I keep getting stuck on choosing u and dv when integrating x^2 * ln(x). Does anyone have a good rule of thumb for this?
Great question Rahul! Remember the acronym LIATE. Choose your $u$ based on what comes first: Logarithmic, Inverse trig, Algebraic, Trigonometric, Exponential. Since ln(x) is Logarithmic, let u = ln(x) and dv = x^2 dx.
Real-world application of Matrices?
We are learning matrix multiplication in class right now. Other than solving linear equations, where is this actually used in real life?
Matrices are everywhere in computer science! Every time you play a 3D video game, matrix multiplication is happening millions of times per second to rotate, scale, and translate the 3D objects on your 2D screen.
Wow, I had no idea graphic cards basically just did matrix math. That makes it way more interesting to learn.