Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14801	Find the Integral	square root of 105	$\sqrt{105}$
14802	Find the Integral	square root of 153	$\sqrt{153}$
14803	Find the Integral	square root of 4x+5	$\sqrt{4 x + 5}$
14804	Find the Integral	square root of 21	$\sqrt{21}$
14805	Find the Integral	square root of 34	$\sqrt{34}$
14806	Find the Integral	square root of 3x	$\sqrt{3 x}$
14807	Find the Integral	square root of 3-x	$\sqrt{3 - x}$
14808	Find the Integral	square root of 55	$\sqrt{55}$
14809	Find the Integral	square root of 49-x^2	$\sqrt{49 - x^{2}}$
14810	Find the Integral	square root of 63	$\sqrt{63}$
14811	Find the Integral	square root of 6x	$\sqrt{6 x}$
14812	Find the Integral	1/(3x+4)	$\frac{1}{3 x + 4}$
14813	Find the Integral	1/(1-x^2)	$\frac{1}{1 - x^{2}}$
14814	Find the Integral	1/(1+cos(2x))	$\frac{1}{1 + \cos (2 x)}$
14815	Find the Integral	1/(1-2x)	$\frac{1}{1 - 2 x}$
14816	Find the Integral	1/(z^2)	$\frac{1}{z^{2}}$
14817	Find the Integral	1/( fourth root of x)	$\frac{1}{\sqrt[4]{x}}$
14818	Find the Integral	1/(x^2+4)	$\frac{1}{x^{2} + 4}$
14819	Find the Integral	1/(x^2+9)	$\frac{1}{x^{2} + 9}$
14820	Find the Integral	1/(x^2-1)	$\frac{1}{x^{2} - 1}$
14821	Find the Integral	1/(t^4)	$\frac{1}{t^{4}}$
14822	Find the Integral	1/( square root of 9-x^2)	$\frac{1}{\sqrt{9 - x^{2}}}$
14823	Find the Integral	1/( square root of t)	$\frac{1}{\sqrt{t}}$
14824	Find the Integral	1/( square root of 2x)	$\frac{1}{\sqrt{2 x}}$
14825	Find the Integral	1/(x^(1/2))	$\frac{1}{x^{\frac{1}{2}}}$
14826	Find the Integral	1/(x^(3/2))	$\frac{1}{x^{\frac{3}{2}}}$
14827	Find the Integral	1/( cube root of x)	$\frac{1}{\sqrt[3]{x}}$
14828	Find the Integral	1/( square root of x)-5	$\frac{1}{\sqrt{x}} - 5$
14829	Find the Integral	1/(u^3)	$\frac{1}{u^{3}}$
14830	Find the Integral	(x^3-1)/(x^2)	$\frac{x^{3} - 1}{x^{2}}$
14831	Find the Integral	1/((x^2+2)^(3/2))*(dx)	$\frac{1}{{(x^{2} + 2)}^{\frac{3}{2}}} \cdot (d x)$
14832	Find the Integral	( square root of 9-x^2)/(x^2)*(dx)	$\frac{\sqrt{9 - x^{2}}}{x^{2}} \cdot (d x)$
14833	Find the Integral	(x^2-4)/(x+2)	$\frac{x^{2} - 4}{x + 2}$
14834	Find the Integral	(x^2+1)/(x^2)	$\frac{x^{2} + 1}{x^{2}}$
14835	Find the Integral	(x^3)/4	$\frac{x^{3}}{4}$
14836	Find the Integral	(x^3-2x^2-x)/(x^2)	$\frac{x^{3} - 2 x^{2} - x}{x^{2}}$
14837	Find the Integral	(x^6)/(x^7-1)	$\frac{x^{6}}{x^{7} - 1}$
14838	Find the Linearization at a=0	f(x) = square root of 1-x , a=0	$\frac{e^{x}}{e^{2 x} + 3}$
14839	Find the Tangent Line at x=1	y = square root of 2-x , x=1	$\frac{\sqrt[6]{x^{13} y^{3}}}{\sqrt[3]{x y}}$
14840	Find the Integral	(x^2)/(x^3+5)	$\frac{x^{2}}{x^{3} + 5}$
14841	Find the Integral	1/(7x)	$\frac{1}{7 x}$
14842	Find the Integral	1/3t^2	$\frac{1}{3} t^{2}$
14843	Find the Integral	1/3x^3	$\frac{1}{3} x^{3}$
14844	Find the Integral	1/(x-1)	$\frac{1}{x - 1}$
14845	Find the Integral	1/(sin(x))	$\frac{1}{\sin (x)}$
14846	Find the Integral	1/(8x+9)	$\frac{1}{8 x + 9}$
14847	Find the Integral	1/(x-8)	$\frac{1}{x - 8}$
14848	Find the Integral	100/((t+2)^2)	$\frac{100}{{(t + 2)}^{2}}$
14849	Find the Integral	10/(x^2)	$\frac{10}{x^{2}}$
14850	Find the Integral	(2v^2+6v+5)/((v+2)(v+1)^2)	$\frac{2 v^{2} + 6 v + 5}{(v + 2) {(v + 1)}^{2}}$
14851	Find the Integral	13/(x^7)	$\frac{13}{x^{7}}$
14852	Find the Integral	(2x^4-3x^2+2)/(x^2-6x+8)	$\frac{2 x^{4} - 3 x^{2} + 2}{x^{2} - 6 x + 8}$
14853	Find the Integral	2/(x+1)	$\frac{2}{x + 1}$
14854	Find the Integral	(2+x^2)/(1+x^2)	$\frac{2 + x^{2}}{1 + x^{2}}$
14855	Find the Integral	(225+10x)/(1+0.05x)	$\frac{225 + 10 x}{1 + 0.05 x}$
14856	Find the Integral	4/(t^3)	$\frac{4}{t^{3}}$
14857	Find the Integral	4/5x^(5/4)-1/2x^2	$\frac{4}{5} x^{\frac{5}{4}} - \frac{1}{2} x^{2}$
14858	Find the Integral	(4+6x)/( square root of x)	$\frac{4 + 6 x}{\sqrt{x}}$
14859	Find the Integral	(4+u)/u	$\frac{4 + u}{u}$
14860	Find the Integral	2900/(1+0.25x)	$\frac{2900}{1 + 0.25 x}$
14861	Find the Integral	(2dt)/( square root of t)	$\frac{2 d t}{\sqrt{t}}$
14862	Find the Integral	3/(t^2)	$\frac{3}{t^{2}}$
14863	Find the Integral	200000/(1+100e^(-0.1x))	$\frac{200000}{1 + 100 e^{- 0.1 x}}$
14864	Find the Integral	(-21x^2)/((3-7x^3)^2)	$\frac{- 21 x^{2}}{{(3 - 7 x^{3})}^{2}}$
14865	Find the Integral	(2x)/(x^2-25)	$\frac{2 x}{x^{2} - 25}$
14866	Find the Integral	-(2x)/(x^2-8)	$- \frac{2 x}{x^{2} - 8}$
14867	Find the Integral	(2x-3)/(x^2-3x)	$\frac{2 x - 3}{x^{2} - 3 x}$
14868	Find the Integral	(2x+1)/(x+2)	$\frac{2 x + 1}{x + 2}$
14869	Find the Integral	(3z^2+12z-9)/(z^4)	$\frac{3 z^{2} + 12 z - 9}{z^{4}}$
14870	Find the Derivative Using Chain Rule - d/dt	y=cos(2pit+3)^2	$y = \cos^{2} (2 π t + 3)$
14871	Find the Derivative Using Chain Rule - d/dx	((x^2+3)^5+x)^2	${({(x^{2} + 3)}^{5} + x)}^{2}$
14872	Find the Derivative Using Chain Rule - d/dx	(3.1x-6)^2-1/((3.1x-6)^2)	${(3.1 x - 6)}^{2} - \frac{1}{{(3.1 x - 6)}^{2}}$
14873	Find the Derivative Using Chain Rule - d/dx	(-3+2x^4)^-2	${(- 3 + 2 x^{4})}^{- 2}$
14874	Find the Derivative Using Chain Rule - d/dx	(9-5x)^2	${(9 - 5 x)}^{2}$
14875	Find the Derivative Using Chain Rule - d/dx	(sec(x)+tan(x))^5	${(\sec (x) + \tan (x))}^{5}$
14876	Find the Derivative Using Chain Rule - d/dx	1/((25-x^2)^3)	$\frac{1}{{(25 - x^{2})}^{3}}$
14877	Find the Derivative Using Chain Rule - d/dx	(2x)/(3y)	$\frac{2 x}{3 y}$
14878	Find the Derivative Using Chain Rule - d/dx	cos(3x)^2	$\cos^{2} (3 x)$
14879	Find the Derivative Using Chain Rule - d/dx	(sin(x))/x	$\frac{\sin (x)}{x}$
14880	Find the Derivative Using Chain Rule - d/dx	(d(5x^2-3x))/(dx)	$\frac{d (5 x^{2} - 3 x)}{d x}$
14881	Find the Derivative Using Chain Rule - d/dx	cube root of (2x-1)^2	$\sqrt[3]{{(2 x - 1)}^{2}}$
14882	Find the Derivative Using Chain Rule - d/dx	5x^2(6x+8)^4	$5 x^{2} {(6 x + 8)}^{4}$
14883	Find the Derivative Using Chain Rule - d/dx	6cos(x^2)	$6 \cos (x^{2})$
14884	Find the Derivative Using Chain Rule - d/dx	3 square root of x	$3 \sqrt{x}$
14885	Find the Derivative Using Chain Rule - d/dx	2p square root of x/y	$2 p \sqrt{\frac{x}{y}}$
14886	Find the Derivative Using Chain Rule - d/dx	(2y(dy))/(dx)	$\frac{2 y (d y)}{d x}$
14887	Find the Derivative Using Chain Rule - d/dx	square root of 35.4	$\sqrt{35.4}$
14888	Find the Derivative Using Chain Rule - d/dx	square root of 15x	$\sqrt{15 x}$
14889	Find the Derivative Using Chain Rule - d/dx	square root of sin(x+1)	$\sqrt{\sin (x + 1)}$
14890	Find the Derivative Using Chain Rule - d/dx	cube root of x^2	$\sqrt[3]{x^{2}}$
14891	Find the Derivative Using Chain Rule - d/dx	cube root of 1+5x	$\sqrt[3]{1 + 5 x}$
14892	Find the Derivative Using Chain Rule - d/dx	cot(x)	$\cot (x)$
14893	Find the Derivative Using Chain Rule - d/dx	2xcos(x^2)	$2 x \cos (x^{2})$
14894	Find the Derivative Using Chain Rule - d/dx	f(x)=((8x^-4+4x+10)^(4/3))/(-3x^-3-2x+6)	$f (x) = \frac{{(8 x^{- 4} + 4 x + 10)}^{\frac{4}{3}}}{- 3 x^{- 3} - 2 x + 6}$
14895	Find the Derivative Using Chain Rule - d/dx	f(x)=(4x+3)^(1/2)	$f (x) = {(4 x + 3)}^{\frac{1}{2}}$
14896	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(v/(v^3+1))^6	$f (x) = {(\frac{v}{v^{3} + 1})}^{6}$
14897	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(14x-x^2)^3	$f (x) = {(14 x - x^{2})}^{3}$
14898	Simplify	square root of 9x^2+1	$\sqrt{9 x^{2} + 1}$
14899	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=xe^(-2x^2)	$f (x) = x e^{- 2 x^{2}}$
14900	Find the Derivative Using Chain Rule - d/d@VAR	N(t)=-20000/((1+0.2t)^(1/2))+c	$N (t) = - \frac{20000}{{(1 + 0.2 t)}^{\frac{1}{2}}} + c$