Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48701	Find the Volume	y=6-5/2x , y=0 , x=0 , x=1	$y = 6 - \frac{5}{2} x$ , $y = 0$ , $x = 0$ , $x = 1$
48702	Find the Volume	y=9-x , y=3x-3 , x=0	$y = 9 - x$ , $y = 3 x - 3$ , $x = 0$
48703	Find the Volume	y=e^(-x^2) , y=0 , x=0 , x=1	$y = e^{- x^{2}}$ , $y = 0$ , $x = 0$ , $x = 1$
48704	Find the Arc Length	2x^2+3x=5 , (-1,5)	$2 x^{2} + 3 x = 5$ , $(- 1, 5)$
48705	Find the Arc Length	f(x)=6x-6 , (-1,4)	$f (x) = 6 x - 6$ , $(- 1, 4)$
48706	Find the Axis of Symmetry	y=x^2+8x+12	$y = x^{2} + 8 x + 12$
48707	Find the Range	f(x)=\|5sin(2x)\|	$f (x) = \| 5 \sin (2 x) \|$
48708	Find the x and y Intercepts	(4x-1)/x	$\frac{4 x - 1}{x}$
48709	Find the x and y Intercepts	-x^2-6x-5	$- x^{2} - 6 x - 5$
48710	Find the x and y Intercepts	8-7x-x^3	$8 - 7 x - x^{3}$
48711	Find the x and y Intercepts	(3x^3-x^2-27x+9)/(x^2+4x+3)	$\frac{3 x^{3} - x^{2} - 27 x + 9}{x^{2} + 4 x + 3}$
48712	Find the x and y Intercepts	(9x^2(4x-3))/((4x-3)^2(x+7)(x-9))	$\frac{9 x^{2} (4 x - 3)}{{(4 x - 3)}^{2} (x + 7) (x - 9)}$
48713	Find the x and y Intercepts	(x^2+100)/x	$\frac{x^{2} + 100}{x}$
48714	Find the x and y Intercepts	(x-1)^2-4	${(x - 1)}^{2} - 4$
48715	Find the x and y Intercepts	x^3-18x^2+81x	$x^{3} - 18 x^{2} + 81 x$
48716	Find the x and y Intercepts	x^3-x^2-9x+9	$x^{3} - x^{2} - 9 x + 9$
48717	Find the x and y Intercepts	x+17/x	$x + \frac{17}{x}$
48718	Find the Roots (Zeros)	x^2-4x+10	$x^{2} - 4 x + 10$
48719	Find the Roots (Zeros)	x^3+3x^2-9x-27	$x^{3} + 3 x^{2} - 9 x - 27$
48720	Find the Roots (Zeros)	x^4-2x^3+78x^2+166x+85	$x^{4} - 2 x^{3} + 78 x^{2} + 166 x + 85$
48721	Find the Roots (Zeros)	9x^2+12x+4	$9 x^{2} + 12 x + 4$
48722	Find the Roots (Zeros)	x^3-57x+56	$x^{3} - 57 x + 56$
48723	Find the Roots (Zeros)	x^3-3x^2+3x-2	$x^{3} - 3 x^{2} + 3 x - 2$
48724	Find the Roots (Zeros)	x^2-12x+27	$x^{2} - 12 x + 27$
48725	Find the Roots (Zeros)	2x^3-3x^2	$2 x^{3} - 3 x^{2}$
48726	Find the Roots (Zeros)	x^4-5x^3+6x^2+4x-8	$x^{4} - 5 x^{3} + 6 x^{2} + 4 x - 8$
48727	Find the Roots (Zeros)	4x^3-2x	$4 x^{3} - 2 x$
48728	Find the Roots (Zeros)	3x^2-36x+105	$3 x^{2} - 36 x + 105$
48729	Find the Roots (Zeros)	x^2-8x+7	$x^{2} - 8 x + 7$
48730	Find the Roots (Zeros)	3x^2-8x-6	$3 x^{2} - 8 x - 6$
48731	Find the Roots (Zeros)	4x^3-12x^2-11x-2	$4 x^{3} - 12 x^{2} - 11 x - 2$
48732	Find the Roots (Zeros)	x^2-3x-9	$x^{2} - 3 x - 9$
48733	Find the Roots (Zeros)	x^3+5x^2-17x-21	$x^{3} + 5 x^{2} - 17 x - 21$
48734	Find the Roots (Zeros)	x^2+10x+21	$x^{2} + 10 x + 21$
48735	Find the Roots (Zeros)	x^3-6x^2+61x-106	$x^{3} - 6 x^{2} + 61 x - 106$
48736	Find the Roots (Zeros)	(x^2-12x-108)/(x^2-24x+108)	$\frac{x^{2} - 12 x - 108}{x^{2} - 24 x + 108}$
48737	Find the Roots (Zeros)	(2x-33)(x^2+90)	$(2 x - 33) (x^{2} + 90)$
48738	Find the Roots (Zeros)	6x^2+12x-90	$6 x^{2} + 12 x - 90$
48739	Find the Roots (Zeros)	3x^2+7x-6	$3 x^{2} + 7 x - 6$
48740	Find the Roots (Zeros)	6x^2+18x-108	$6 x^{2} + 18 x - 108$
48741	Find the Roots (Zeros)	-(x^2-196)/((x^2+196)^2)	$- \frac{x^{2} - 196}{{(x^{2} + 196)}^{2}}$
48742	Find the Roots (Zeros)	(x^3-4x^2-47x+210)÷(x-5)	$(x^{3} - 4 x^{2} - 47 x + 210) \div (x - 5)$
48743	Find the Roots (Zeros)	x^2+14x+45	$x^{2} + 14 x + 45$
48744	Find the Roots (Zeros)	3t^2-16t+28	$3 t^{2} - 16 t + 28$
48745	Find the Roots (Zeros)	X^2-16X+48	$X^{2} - 16 X + 48$
48746	Find the Roots (Zeros)	x^3-2x^2-23x+60	$x^{3} - 2 x^{2} - 23 x + 60$
48747	Find the Roots (Zeros)	6x^3+37x^2-34x+7	$6 x^{3} + 37 x^{2} - 34 x + 7$
48748	Find the Roots (Zeros)	-3x^2+18x	$- 3 x^{2} + 18 x$
48749	Find the Roots (Zeros)	x^2+9x+18	$x^{2} + 9 x + 18$
48750	Find the Roots (Zeros)	3x^2-9x-12	$3 x^{2} - 9 x - 12$
48751	Find the Roots (Zeros)	x^3-12x-16	$x^{3} - 12 x - 16$
48752	Find the Roots (Zeros)	x^3-8x^2+17x-10	$x^{3} - 8 x^{2} + 17 x - 10$
48753	Find the Roots (Zeros)	x^2+2x-9	$x^{2} + 2 x - 9$
48754	Find the Roots (Zeros)	3x^2-10x-6	$3 x^{2} - 10 x - 6$
48755	Find the Roots (Zeros)	6x^2-54x+48	$6 x^{2} - 54 x + 48$
48756	Find the Roots (Zeros)	12cos(x)^2sin(x)-6sin(x)^3-3sin(x)	$12 \cos^{2} (x) \sin (x) - 6 \sin^{3} (x) - 3 \sin (x)$
48757	Find the Roots (Zeros)	2x^3+x^2-25x+12	$2 x^{3} + x^{2} - 25 x + 12$
48758	Find the Roots (Zeros)	x^2-12x+35	$x^{2} - 12 x + 35$
48759	Find the Roots (Zeros)	square root of x^2+10x+27	$\sqrt{x^{2} + 10 x + 27}$
48760	Find the Roots (Zeros)	(x^2-3)	$(x^{2} - 3)$
48761	Find the Roots (Zeros)	x^2-10x+20	$x^{2} - 10 x + 20$
48762	Find the Roots (Zeros)	x^2+8x+13	$x^{2} + 8 x + 13$
48763	Find the Roots (Zeros)	24x^2-24x-144	$24 x^{2} - 24 x - 144$
48764	Find the Roots (Zeros)	2x^2-2x-12	$2 x^{2} - 2 x - 12$
48765	Find the Roots (Zeros)	x^2-6x+25	$x^{2} - 6 x + 25$
48766	Find the Roots (Zeros)	x^3-2x^2-13x-10	$x^{3} - 2 x^{2} - 13 x - 10$
48767	Find the Roots (Zeros)	-(x^2-64)/((x^2+64)^2)	$- \frac{x^{2} - 64}{{(x^{2} + 64)}^{2}}$
48768	Find the Roots (Zeros)	6x^2-42x+60	$6 x^{2} - 42 x + 60$
48769	Find the Roots (Zeros)	x^6-2x^3+1	$x^{6} - 2 x^{3} + 1$
48770	Find the Antiderivative	x/( square root of 1-4x^2)	$\frac{x}{\sqrt{1 - 4 x^{2}}}$
48771	Find the Antiderivative	(2x^4)/(x^6)	$\frac{2 x^{4}}{x^{6}}$
48772	Find the Antiderivative	sin(y)	$\sin (y)$
48773	Find the Antiderivative	(6+t+t^2)/( square root of t)	$\frac{6 + t + t^{2}}{\sqrt{t}}$
48774	Find the Antiderivative	2cos(x)+sec(x)^2	$2 \cos (x) + \sec^{2} (x)$
48775	Find the Antiderivative	x^(-11/5)	$x^{- \frac{11}{5}}$
48776	Find the Antiderivative	square root of y+1	$\sqrt{y + 1}$
48777	Find the Antiderivative	8x^-1	$8 x^{- 1}$
48778	Find the Antiderivative	cos(1/2x)	$\cos (\frac{1}{2} x)$
48779	Find the Antiderivative	-4e^(-x)	$- 4 e^{- x}$
48780	Find the Antiderivative	5e^(2x)(e^(2x)-5)^4	$5 e^{2 x} {(e^{2 x} - 5)}^{4}$
48781	Find the Antiderivative	9x-6	$9 x - 6$
48782	Find the Antiderivative	(e^(5/t))/(3t^2)	$\frac{e^{\frac{5}{t}}}{3 t^{2}}$
48783	Find the Antiderivative	(1-csc(x)cot(x))	$(1 - \csc (x) \cot (x))$
48784	Find the Antiderivative	x^0.5	$x^{0.5}$
48785	Find the Antiderivative	1+sin(2x)	$1 + \sin (2 x)$
48786	Find the Antiderivative	(y-1)^-1	${(y - 1)}^{- 1}$
48787	Find the Antiderivative	cot(x)^3	$\cot^{3} (x)$
48788	Find the Antiderivative	2x(1-x)	$2 x (1 - x)$
48789	Find the Antiderivative	cos(t^2)	$\cos (t^{2})$
48790	Find the Antiderivative	x(4x-1)^2	$x {(4 x - 1)}^{2}$
48791	Find the Antiderivative	(2-3x)^5	${(2 - 3 x)}^{5}$
48792	Find the Antiderivative	square root of 1-4x^2	$\sqrt{1 - 4 x^{2}}$
48793	Find the Antiderivative	72e^(-12x)	$72 e^{- 12 x}$
48794	Find the Antiderivative	(1-cos(2x))/2	$\frac{1 - \cos (2 x)}{2}$
48795	Find the Antiderivative	sec(theta)-cos(theta)	$\sec (θ) - \cos (θ)$
48796	Find the Antiderivative	15x^-1	$15 x^{- 1}$
48797	Find the Antiderivative	6xe^(3x^2)	$6 x e^{3 x^{2}}$
48798	Find the Antiderivative	1/(t^5)	$\frac{1}{t^{5}}$
48799	Find the Antiderivative	6^x natural log of 6	$6^{x} \ln (6)$
48800	Find the Antiderivative	6xdx	$6 x d x$