MathHackX

Cracking math wider, faster, and smarter. ⚡ Short cuts, study hacks, and powerful math tricks you weren't taught in school. 👇 #Math / #Maths #Mathematics #STEM

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Law of logarithms

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All formulas for circle.. mathematics

[Infinite Logiz @Infinite_Logiz]

📘 Grade 12 Calculus | Trigonometric Integral Problem
Practice substitution techniques in calculus with this elegant trigonometric integral solved step by step using a smart transformation and a standard inverse trigonometric formula.
Problem:
∫ [sin 2x / √(9 − cos⁴x)] dx
In this solution, we:
• Apply trigonometric identities
• Use substitution (t = cos²x)
• Convert the integral into a standard form
• Use the inverse sine integration formula
• Back-substitute to obtain the final answer
Final Answer:
− sin⁻¹(cos²x / 3) + C
Topics covered:
• Trigonometric Integrals
• Substitution Method
• Inverse Trigonometric Functions
• Standard Integration Forms
• Advanced Calculus Techniques
Perfect for Grade 12 students, AP Calculus learners, A-Level Mathematics, and students preparing for competitive mathematics exams.

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Drop your answer BELOW 👇 the comment 📩
#MCQs #differentiation #calculus #studynotes
#apcalculus #Grade12Math #PreCalculus #limit

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Gamma & Beta Functions

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Cosine of x and its reciprocal function the secant of x. Notice where secant (x) has its asymptotes, which is exactly where cosine of x is equal to 0. Can you convince yourself as to why this is the case? #math #mathproblems #algebra

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The Math of Changing Your Mind! (Bayes' Theorem) 🧠📊

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How to Integrate sin^3(2x) | Step-by-Step Calculus #maths

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Trigonometry Important Formulas

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Logarithmic Integral Problem

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Percentage to Fractions

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Solve the math problem

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It’s time to start thinking of trig functions as what they actually are. Yes, cosine of x is the adjacent over the hypotenuse, but there is more to it. Imagine being a point on a circle, and then recording how your x coordinate changes as you move around the circumference of the circle. That is actually what the plot of cosine of x is telling you. Similarly for the sine of x, where instead you record the variation in your y coordinate.

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Drop your answer below the comment 📩