Menu Close

Category: Algebra

tan-3-x-dx-

Question Number 132470 by physicstutes last updated on 14/Feb/21 $$\int\:\mathrm{tan}^{\mathrm{3}} {x}\:{dx} \\ $$ Answered by mindispower last updated on 14/Feb/21 $$\int{tg}\left({x}\right)\left(\mathrm{1}+{tg}^{\mathrm{2}} \left({x}\right)\right){dx}−\int{tg}\left({x}\right){dx} \\ $$$$=\frac{{tg}^{\mathrm{2}} \left({x}\right)}{\mathrm{2}}+{ln}\mid{cos}\left({x}\right)\mid+{c}…

8-log-12x-1-4-log-27-solve-for-x-

Question Number 1355 by Rasheed Ahmad last updated on 25/Jul/15 $$\mathrm{8}^{{log}\:\left(\mathrm{12}{x}+\mathrm{1}\right)} =\mathrm{4}^{{log}\:\mathrm{27}} \:\:\:,{solve}\:{for}\:{x}. \\ $$ Answered by Yugi last updated on 25/Jul/15 $${Rewriting}\:{the}\:{above}\:{equation}\:{in}\:{base}\:\mathrm{2}\:{gives} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{3}{log}\left(\mathrm{12}{x}+\mathrm{1}\right)}…

If-and-are-different-complex-numbers-with-1-then-1-

Question Number 1331 by a@b.c last updated on 23/Jul/15 $$\mathrm{If}\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{different}\:\mathrm{complex}\:\mathrm{numbers} \\ $$$$\mathrm{with}\:\mid\beta\mid=\mathrm{1}\:\mathrm{then}\:\mid\frac{\beta−\alpha}{\mathrm{1}−\alpha\beta}\mid=? \\ $$ Commented by 123456 last updated on 23/Jul/15 $$\mid\alpha+\beta\mid\leqslant\mid\alpha\mid+\mid\beta\mid \\ $$$$\mid\beta−\alpha\mid\leqslant\mid\beta\mid+\mid\alpha\mid \\…

does-anyone-know-a-practicaly-way-of-finding-results-from-4-3x-2x-2-x-4-1-3x-2-x-5-

Question Number 132390 by bramlexs22 last updated on 14/Feb/21 $$\mathrm{does}\:\mathrm{anyone}\:\mathrm{know}\:\mathrm{a}\:\mathrm{practicaly} \\ $$$$\mathrm{way}\:\mathrm{of}\:\mathrm{finding}\:\mathrm{results}\:\mathrm{from} \\ $$$$\:\left(\mathrm{4}−\mathrm{3x}+\mathrm{2x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{4}} \right)×\left(−\mathrm{1}+\mathrm{3x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{5}} \right)? \\ $$ Answered by EDWIN88 last updated…