Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46801	Find the Integral	(dx)/(x^2)	$\frac{d x}{x^{2}}$
46802	Find the Integral	-(x+1)sin(5x)	$- (x + 1) \sin (5 x)$
46803	Find the Integral	1/( square root of x)dx	$\frac{1}{\sqrt{x}} d x$
46804	Find the Integral	e^(-2x)dx	$e^{- 2 x} d x$
46805	Find the Integral	natural log of 4x-8+C	$\ln (4 x - 8) + C$
46806	Find the Integral	-2sin(x)	$- 2 \sin (x)$
46807	Find the Integral	16sin(2x)^2	$16 \sin^{2} (2 x)$
46808	Find the Integral	-1/4sin(2x)	$- \frac{1}{4} \sin (2 x)$
46809	Find the Integral	integral of x^2 square root of 1-x with respect to x	$\int x^{2} \sqrt{1 - x} d x$
46810	Find Where Undefined/Discontinuous	y=2/((x+5)^2+10)	$y = \frac{2}{{(x + 5)}^{2} + 10}$
46811	Find the Critical Points	x^2-12x+10	$x^{2} - 12 x + 10$
46812	Find the Critical Points	48x-3x^2	$48 x - 3 x^{2}$
46813	Find the Critical Points	42x-7x^2	$42 x - 7 x^{2}$
46814	Find the Critical Points	-3x^4+24x^3-48x^2	$- 3 x^{4} + 24 x^{3} - 48 x^{2}$
46815	Find the Critical Points	3x^4-20x^3+42x^2-36x	$3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
46816	Find the Critical Points	x^3-7x^2-5x+9	$x^{3} - 7 x^{2} - 5 x + 9$
46817	Find the Critical Points	x^-3 natural log of x	$x^{- 3} \ln (x)$
46818	Find the Critical Points	x^4-2x^2+7	$x^{4} - 2 x^{2} + 7$
46819	Find the Critical Points	x^4-128x^2+4096	$x^{4} - 128 x^{2} + 4096$
46820	Find the Critical Points	(5x)/(x^2+16)	$\frac{5 x}{x^{2} + 16}$
46821	Find the Critical Points	xe^(-6x)	$x e^{- 6 x}$
46822	Find the Critical Points	x^4-4x^3+6x^2-4x+3	$x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 3$
46823	Find the Critical Points	x^4-32x+6	$x^{4} - 32 x + 6$
46824	Find the Critical Points	1/5x^5-x	$\frac{1}{5} x^{5} - x$
46825	Find the Critical Points	-(18x)/((x^2-9)^2)	$- \frac{18 x}{{(x^{2} - 9)}^{2}}$
46826	Find the Critical Points	(y-1)/(y^2-3y+3)	$\frac{(y - 1)}{y^{2} - 3 y + 3}$
46827	Find the Critical Points	3x^2+18x	$3 x^{2} + 18 x$
46828	Find the Critical Points	2x^2-216 square root of x	$2 x^{2} - 216 \sqrt{x}$
46829	Find the Critical Points	27t+6t^2-t^3	$27 t + 6 t^{2} - t^{3}$
46830	Find the Critical Points	-12x^3+3x^2	$- 12 x^{3} + 3 x^{2}$
46831	Find the Critical Points	11x+1/x	$11 x + \frac{1}{x}$
46832	Find the Critical Points	square root of 100-x^2	$\sqrt{100 - x^{2}}$
46833	Find the Critical Points	1-1/(x^(2/3))	$1 - \frac{1}{x^{\frac{2}{3}}}$
46834	Find the Tangent Line at a=3	f(x)=2x^2-10x+9 , a=3	$f (x) = 2 x^{2} - 10 x + 9$ , $a = 3$
46835	Find the Tangent Line at a=6	f(x) = square root of 5x+6 , a=6	$f (x) = \sqrt{5 x + 6}$ , $a = 6$
46836	Find the Tangent Line at a=2	f(x)=2x^2-9x+10 , a=2	$f (x) = 2 x^{2} - 9 x + 10$ , $a = 2$
46837	Find the Tangent Line at a=1/9	f(x)=2/( square root of x) , a=1/9	$f (x) = \frac{2}{\sqrt{x}}$ , $a = \frac{1}{9}$
46838	Find the Tangent Line at x=-2	f(x)=3x^2+5x-7 ; x=-2	$f (x) = 3 x^{2} + 5 x - 7$ ; $x = - 2$
46839	Find the Tangent Line at x=1	f(x)=2x-6 , x=1	$f (x) = 2 x - 6$ , $x = 1$
46840	Evaluate the Summation	sum from i=1 to 15 of 2i-3	$\sum_{i = 1}^{15} 2 i - 3$
46841	Evaluate the Summation	sum from k=1 to 5 of 6(4)^(k-1)	$\sum_{k = 1}^{5} 6 {(4)}^{k - 1}$
46842	Evaluate the Summation	sum from n=1 to 4 of 3n-2	$\sum_{n = 1}^{4} 3 n - 2$
46843	Evaluate the Summation	sum from i=1 to 20 of 2i+1	$\sum_{i = 1}^{20} 2 i + 1$
46844	Evaluate the Summation	sum from k=1 to 52 of 3k^2-14k	$\sum_{k = 1}^{52} 3 k^{2} - 14 k$
46845	Evaluate the Summation	sum from m=0 to 3 of m/4	$\sum_{m = 0}^{3} \frac{m}{4}$
46846	Evaluate the Summation	sum from k=1 to infinity of 4(2/3)^k	$\sum_{k = 1}^{\infty} 4 {(\frac{2}{3})}^{k}$
46847	Evaluate the Summation	sum from n=1 to 12 of 3n+1	$\sum_{n = 1}^{12} 3 n + 1$
46848	Evaluate the Summation	sum from i=1 to 10 of 3i^2+5	$\sum_{i = 1}^{10} 3 i^{2} + 5$
46849	Evaluate the Summation	sum from n=1 to 60 of 3n-7	$\sum_{n = 1}^{60} 3 n - 7$
46850	Evaluate the Summation	sum from i=1 to 100 of (i+1)/10000	$\sum_{i = 1}^{100} \frac{i + 1}{10000}$
46851	Evaluate the Summation	sum from i=1 to 10 of (i+1)/100	$\sum_{i = 1}^{10} \frac{i + 1}{100}$
46852	Evaluate the Summation	sum from 1 to 5 of x^2	$\sum_{1}^{5} x^{2}$
46853	Evaluate the Summation	sum from k=1 to 100 of k	$\sum_{k = 1}^{100} k$
46854	Evaluate the Summation	sum from k=4 to 8 of k^2-5k	$\sum_{k = 4}^{8} k^{2} - 5 k$
46855	Evaluate the Summation	sum from k=0 to infinity of (1/2)^k	$\sum_{k = 0}^{\infty} {(\frac{1}{2})}^{k}$
46856	Evaluate the Summation	sum from k=1 to 3 of (-1)^(k+3)cos(kpi)	$\sum_{k = 1}^{3} {(- 1)}^{k + 3} \cos (k π)$
46857	Evaluate the Summation	sum from m=0 to 3 of m^2+5m+4	$\sum_{m = 0}^{3} m^{2} + 5 m + 4$
46858	Evaluate the Summation	sum from n=1 to 50 of 2n-7	$\sum_{n = 1}^{50} 2 n - 7$
46859	Find the x and y Intercepts	f(x)=x^2-10x+24	$f (x) = x^{2} - 10 x + 24$
46860	Find the x and y Intercepts	f(x)=x+17/x	$f (x) = x + \frac{17}{x}$
46861	Evaluate the Summation	sum from x=2 to 2 of -3x-5	$\sum_{x = 2}^{2} - 3 x - 5$
46862	Evaluate the Summation	sum from x=3 to 4 of 7x	$\sum_{x = 3}^{4} 7 x$
46863	Evaluate the Summation	sum from x=3 to 4 of -2/(x-3)	$\sum_{x = 3}^{4} \frac{- 2}{x - 3}$
46864	Find the Maximum/Minimum Value	f(x)=x^2-8x+10	$f (x) = x^{2} - 8 x + 10$
46865	Find the Maximum/Minimum Value	f(x)=2x^2+4x-3	$f (x) = 2 x^{2} + 4 x - 3$
46866	Find the Maximum/Minimum Value	g(x)=9/(x^2+3)	$g (x) = \frac{9}{x^{2} + 3}$
46867	Find the Maximum/Minimum Value	h(t)=80t-16t^2	$h (t) = 80 t - 16 t^{2}$
46868	Find the Maximum/Minimum Value	f(x)=-5x^2+6x-8	$f (x) = - 5 x^{2} + 6 x - 8$
46869	Find the Maximum/Minimum Value	f(x)=2x^3+6x^2-90x	$f (x) = 2 x^{3} + 6 x^{2} - 90 x$
46870	Find the Maximum/Minimum Value	f(X)=x^2+360/x	$f (X) = x^{2} + \frac{360}{x}$
46871	Find the Maximum/Minimum Value	f(x)=2x-24x^(1/3)	$f (x) = 2 x - 24 x^{\frac{1}{3}}$
46872	Find the Maximum/Minimum Value	f(x)=4cos(x/2)-3	$f (x) = 4 \cos (\frac{x}{2}) - 3$
46873	Find the Maximum/Minimum Value	f(x)=-5x^2+6x-5	$f (x) = - 5 x^{2} + 6 x - 5$
46874	Find the Maximum/Minimum Value	f(x)=x^2+440/x	$f (x) = x^{2} + \frac{440}{x}$
46875	Find the Maximum/Minimum Value	f(x)=-5x^2+6x-4	$f (x) = - 5 x^{2} + 6 x - 4$
46876	Evaluate Using the Squeeze Theorem	limit as x approaches infinity of arctan(x)	$lim_{x \to \infty} \arctan (x)$
46877	Evaluate Using the Squeeze Theorem	limit as x approaches infinity of (x^2(2+sin(x)^2))/(x+100)	$lim_{x \to \infty} \frac{x^{2} (2 + \sin^{2} (x))}{x + 100}$
46878	Find the Absolute Max and Min over the Interval	f(x)=x+1/x , [0.2,4]	$f (x) = x + \frac{1}{x}$ , $[0.2, 4]$
46879	Find the Absolute Max and Min over the Interval	f(x)=x(6-x) ; (negative infinity,infinity)	$f (x) = x (6 - x)$ ; $(- \infty, \infty)$
46880	Find the Absolute Max and Min over the Interval	f(x)=2sin(x)-x+2 , [0,(3pi)/2]	$f (x) = 2 \sin (x) - x + 2$ , $[0, \frac{3 π}{2}]$
46881	Find the Absolute Max and Min over the Interval	f(x)=6x^3-9x^2-216x+3 , [-4,5]	$f (x) = 6 x^{3} - 9 x^{2} - 216 x + 3$ , $[- 4, 5]$
46882	Evaluate the Function	f(x)=(x^2+x)/(x-1) , [5/2,4] , f(c)=6	$f (x) = \frac{x^{2} + x}{x - 1}$ , $[\frac{5}{2}, 4]$ , $f (c) = 6$
46883	Evaluate the Function	f(t)=2t-3	$f (t) = 2 t - 3$
46884	Evaluate the Function	f(x)=1/((-2.5)^2-4)	$f (x) = \frac{1}{{(- 2.5)}^{2} - 4}$
46885	Evaluate the Function	f(pi/4)=sin(x)cos(x)	$f (\frac{π}{4}) = \sin (x) \cos (x)$
46886	Evaluate the Function	f(x)=1/(-2.5^2-4)	$f (x) = \frac{1}{- {2.5}^{2} - 4}$
46887	Evaluate the Function	sum from 0 to 10 of x^2-2x+9	$\sum_{0}^{10} x^{2} - 2 x + 9$
46888	Evaluate the Function	f(x)=2x^2+2 , f(2)	$f (x) = 2 x^{2} + 2$ , $f (2)$
46889	Find the Trig Value	cos(theta)=-1/2	$\cos (θ) = - \frac{1}{2}$
46890	Find the Domain and Range	- square root of 16-x^2	$- \sqrt{16 - x^{2}}$
46891	Find the Domain and Range	cube root of 5-x	$\sqrt[3]{5 - x}$
46892	Find the Domain and Range	f(x)=px+q	$f (x) = p x + q$
46893	Find the Domain and Range	f(x)=rx+d	$f (x) = r x + d$
46894	Find the Domain and Range	f(x)=1/10x-1/4	$f (x) = \frac{1}{10} x - \frac{1}{4}$
46895	Find the Domain and Range	f(x)=1/(2+e^x)	$f (x) = \frac{1}{2 + e^{x}}$
46896	Write in Standard Form	-8/3x+4y=-4/3	$- \frac{8}{3} x + 4 y = \frac{- 4}{3}$
46897	Write in Standard Form	y=4/5x+2	$y = \frac{4}{5} x + 2$
46898	Find the Domain and Range	g(t)=(1-2t)/(4+t)	$g (t) = \frac{1 - 2 t}{4 + t}$
46899	Find the Domain and Range	f(x)=px+n	$f (x) = p x + n$
46900	Find Where Increasing/Decreasing Using Derivatives	y=x^3-12x+9	$y = x^{3} - 12 x + 9$