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- Hello Robert! You have defiled my family by casting a spell of non-gravitation! I now challenge you to a duel of mathematical spells!
- I shall grant you a variety of mathematical equations. If you answer just one of these wrong, then you will be stripped of all your wizardly abilities, but if you answer all of these correctly then I will go into hiding forever!!
- AGREEEED!
- By using the spellway of u-substitution find: 3x^2(x^3-3)^5dx
- HEHEHEHEok
- According to the laws of u-substitution, u=x^3-3. This also means that du/3x^2 = dx. By integrating I can determine that 1/6u^6+c would = 1/6(x^3-3)^6+chahahhaha
- rrrrrrrrr! You despicable being! This is your last and final question...if you do not succeed ye shall be doomed!!
- Let's see how you do with TRIGONOMETRYYYYY!! WOOOhahahahahaaFind: 20x^4cos(2x^5-1) / sin^2(2x^5-1) dx
- Oh Prometheus help me! For I am not sure whether I am capable of the feat!
- nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
- First we must find U which should = 2x^5-1, then I see here that du/10x^4 = dx. Therefore dx = 2. Therefore the trigonometric functions should be equivalent to cot and csc. Therefore integrate to one singular csc, which means that the answer is.......-2csc(2x^5-1)+c
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