Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50201	Find the Integral	integral from 0 to 3 of \|x-1\| with respect to x	$\int_{0}^{3} \| x - 1 \| d x$
50202	Find the Integral	1/(4y^2)	$\frac{1}{4 y^{2}}$
50203	Find the Integral	cot(2x)	$\cot (2 x)$
50204	Find the Integral	1/(r^2)	$\frac{1}{r^{2}}$
50205	Find the Integral	integral of x square root of 9-x^2 with respect to x	$\int x \sqrt{9 - x^{2}} d x$
50206	Find the Integral	3(6-5x-2x^2+7x^4)^2(-5-4x+28x^3)	$3 {(6 - 5 x - 2 x^{2} + 7 x^{4})}^{2} (- 5 - 4 x + 28 x^{3})$
50207	Find the Integral	integral of (sec(x))/(tan(x)^2) with respect to x	$\int \frac{\sec (x)}{\tan^{2} (x)} d x$
50208	Find the Integral	x^0.5	$x^{0.5}$
50209	Find the Integral	(1-sin(x)^2)/(sin(x)^2)	$\frac{(1 - \sin^{2} (x))}{\sin^{2} (x)}$
50210	Find the Integral	cos(3x)^2	$\cos^{2} (3 x)$
50211	Find the Integral	(e^(5x))/5	$\frac{e^{5 x}}{5}$
50212	Find the Integral	integral of ( square root of 9-x^2)/x with respect to x	$\int \frac{\sqrt{9 - x^{2}}}{x} d x$
50213	Find the Integral	cos(2x)dx	$\cos (2 x) d x$
50214	Find the Integral	cube root of x-2	$\sqrt[3]{x} - 2$
50215	Convert to Interval Notation	3/2(6x-3)-7x>=3-(7-x)	$\frac{3}{2} (6 x - 3) - 7 x \geq 3 - (7 - x)$
50216	Convert to Interval Notation	x^3+4x^2-9x-36>=0	$x^{3} + 4 x^{2} - 9 x - 36 \geq 0$
50217	Convert to Interval Notation	(x-3)/(x+6)<=0	$\frac{x - 3}{x + 6} \leq 0$
50218	Convert to Interval Notation	3x^2+10x<=8	$3 x^{2} + 10 x \leq 8$
50219	Convert to Interval Notation	\|x-7\|<4	$\| x - 7 \| < 4$
50220	Convert to Interval Notation	1/(x-3)+4/(x-8)>=0	$\frac{1}{x - 3} + \frac{4}{x - 8} \geq 0$
50221	Convert to Interval Notation	5x^2-72>x^2+42x	$5 x^{2} - 72 > x^{2} + 42 x$
50222	Convert to Interval Notation	\|3x-6\|<9	$\| 3 x - 6 \| < 9$
50223	Convert to Interval Notation	\|x-4\|>=5	$\| x - 4 \| \geq 5$
50224	Convert to Interval Notation	(x-6)/(-x-4)>=0	$\frac{x - 6}{- x - 4} \geq 0$
50225	Convert to Interval Notation	x<=-9	$x \leq - 9$
50226	Convert to Interval Notation	(x^2+4)/(2x^2-18)<0	$\frac{x^{2} + 4}{2 x^{2} - 18} < 0$
50227	Convert to Interval Notation	\|5-5x\|>=\|-10\|	$\| 5 - 5 x \| \geq \| - 10 \|$
50228	Convert to Interval Notation	(6x)/(x^2-36)>=0	$\frac{6 x}{x^{2} - 36} \geq 0$
50229	Convert to Interval Notation	1024x^3-2304x<0	$1024 x^{3} - 2304 x < 0$
50230	Convert to Interval Notation	4x^3-16x<0	$4 x^{3} - 16 x < 0$
50231	Convert to Interval Notation	t>0	$t > 0$
50232	Convert to Interval Notation	30<5x-5(x-6)/2<=60	$30 < 5 x - 5 \frac{x - 6}{2} \leq 60$
50233	Convert to Interval Notation	x^3-100x>=0	$x^{3} - 100 x \geq 0$
50234	Convert to Interval Notation	x^3-2x^2-8x>0	$x^{3} - 2 x^{2} - 8 x > 0$
50235	Convert to Interval Notation	0<=x<=4	$0 \leq x \leq 4$
50236	Convert to Interval Notation	-4<5-3x<=17	$- 4 < 5 - 3 x \leq 17$
50237	Convert to Interval Notation	t>8/3	$t > \frac{8}{3}$
50238	Convert to Interval Notation	\|9-4x\|>18	$\| 9 - 4 x \| > 18$
50239	Convert to Interval Notation	(x-5)^2(28-4x)>0	${(x - 5)}^{2} (28 - 4 x) > 0$
50240	Convert to Interval Notation	\|7x-1\|>10x-2	$\| 7 x - 1 \| > 10 x - 2$
50241	Convert to Interval Notation	(x+6)/(x-8)<=1	$\frac{x + 6}{x - 8} \leq 1$
50242	Convert to Interval Notation	-x^2+4>0	$- x^{2} + 4 > 0$
50243	Convert to Interval Notation	\|2x-1\|<=7	$\| 2 x - 1 \| \leq 7$
50244	Solve the System of @WORD	0.11<1/x<0.14	$0.11 < \frac{1}{x} < 0.14$
50245	Solve the System of @WORD	natural log of x<0	$\ln (x) < 0$
50246	Solve the System of @WORD	-4<(2x-3)/3<4	$- 4 < \frac{2 x - 3}{3} < 4$
50247	Convert to Interval Notation	0<x<8	$0 < x < 8$
50248	Find the Integral	1/2e^(2x)	$\frac{1}{2} e^{2 x}$
50249	Find the Integral	cos(2x)^3	$\cos^{3} (2 x)$
50250	Find the Integral	( natural log of x)/( square root of x)	$\frac{\ln (x)}{\sqrt{x}}$
50251	Find the Integral	(3y^2+1)/(y^3+y)	$\frac{3 y^{2} + 1}{y^{3} + y}$
50252	Find the Integral	cos(y)^2	$\cos^{2} (y)$
50253	Find the Integral	integral of (x^2)/((15+6x-9x^2)^(3/2)) with respect to x	$\int \frac{x^{2}}{{(15 + 6 x - 9 x^{2})}^{\frac{3}{2}}} d x$
50254	Find the Integral	4sin(t)	$4 \sin (t)$
50255	Find the Integral	y+1	$y + 1$
50256	Find the Integral	integral from 3 square root of 2 to 6 of 1/(t^3 square root of t^2-9) with respect to t	$\int_{3 \sqrt{2}}^{6} \frac{1}{t^{3} \sqrt{t^{2} - 9}} d t$
50257	Find the Integral	1/(sec(x))	$\frac{1}{\sec (x)}$
50258	Find the Integral	x^3 square root of x^2+1	$x^{3} \sqrt{x^{2} + 1}$
50259	Find the Integral	sec(5x)^2	$\sec^{2} (5 x)$
50260	Find the Integral	4e^(2t)	$4 e^{2 t}$
50261	Find the Integral	C(t)=3te^(-t/3)	$C (t) = 3 t e^{- \frac{t}{3}}$
50262	Find the Integral	x/(3^x)	$\frac{x}{3^{x}}$
50263	Find the Integral	tan(2x)^3	$\tan^{3} (2 x)$
50264	Find the Integral	1/8cos(2x)	$\frac{1}{8} \cos (2 x)$
50265	Find the Integral	integral of ( square root of x^2-9)/x with respect to x	$\int \frac{\sqrt{x^{2} - 9}}{x} d x$
50266	Find the Integral	y^3 square root of y	$y^{3} \sqrt{y}$
50267	Find the Integral	( cube root of x)^4	${(\sqrt[3]{x})}^{4}$
50268	Find the Integral	integral from 1 to e of (( natural log of x)^2)/x with respect to x	$\int_{1}^{e} \frac{\ln^{2} (x)}{x} d x$
50269	Find the Integral	y^(-1/2)	$y^{- \frac{1}{2}}$
50270	Find the Integral	cot(3x)	$\cot (3 x)$
50271	Find the Integral	e^(-3y)	$e^{- 3 y}$
50272	Find the Integral	sin(2x)dx	$\sin (2 x) d x$
50273	Find the Integral	integral of ((pi^2)/t-7e^t) with respect to t	$\int (\frac{π^{2}}{t} - 7 e^{t}) d t$
50274	Find the Integral	(4t)/( cube root of t^2+3)	$\frac{4 t}{\sqrt[3]{t^{2} + 3}}$
50275	Find the Integral	e^xdx	$e^{x} d x$
50276	Find the Integral	e^(-x)dx	$e^{- x} d x$
50277	Find the Integral	csc(x)^4	$\csc^{4} (x)$
50278	Find the Integral	xe^(-4x)	$x e^{- 4 x}$
50279	Find the Integral	e^x square root of 1-e^x	$e^{x} \sqrt{1 - e^{x}}$
50280	Find the Integral	cos( square root of x)	$\cos (\sqrt{x})$
50281	Evaluate the Function	f(x)=( natural log of x)^5 at x=11	$\frac{e^{x}}{1 + e^{2 x}} d x$
50282	Find the Integral	integral of ( square root of x^2-16)/(x^3) with respect to x	$\int \frac{\sqrt{x^{2} - 16}}{x^{3}} d x$
50283	Find the Integral	t^8	$t^{8}$
50284	Find the Integral	-2dx	$- 2 d x$
50285	Find the Integral	x/6tan(x/6)^2	$\frac{x}{6} \tan^{2} (\frac{x}{6})$
50286	Find the Integral	2sec(x)tan(x)	$2 \sec (x) \tan (x)$
50287	Find the Integral	square root of tan(x)sec(x)^2	$\sqrt{\tan (x)} \sec^{2} (x)$
50288	Verify the Identity	cot(pi/2-theta)cot(theta)=1	$\cot (\frac{π}{2} - θ) \cot (θ) = 1$
50289	Verify the Identity	(sin(theta)+cos(theta))^2=1+sin(2theta)	${(\sin (θ) + C o s θ)}^{2} = 1 + \sin (2 θ)$
50290	Verify the Identity	sec(theta)+tan(theta)=(cos(theta))/(1-sin(theta))	$\sec (θ) + \tan (θ) = \frac{\cos (θ)}{1 - \sin (θ)}$
50291	Verify the Identity	tan(theta/2)^2=(sec(theta)-1)/(sec(theta)+1)	$\tan^{2} (\frac{θ}{2}) = \frac{\sec (θ) - 1}{\sec (θ) + 1}$
50292	Convert to a Simplified Fraction	15.75	$15.75$
50293	Convert to a Simplified Fraction	7.07106781	$7.07106781$
50294	Apply the Quadratic Formula	-16t^2+64t+32	$- 16 t^{2} + 64 t + 32$
50295	Apply the Quadratic Formula	x^2-4x-6	$x^{2} - 4 x - 6$
50296	Apply the Quadratic Formula	12x^2-80x+100	$12 x^{2} - 80 x + 100$
50297	Apply the Quadratic Formula	-0.8t^2+24t-90	$- 0.8 t^{2} + 24 t - 90$
50298	Solve by Factoring	3x^2-18x+24=0	$3 x^{2} - 18 x + 24 = 0$
50299	Solve by Factoring	y^2-5y+6=0	$y^{2} - 5 y + 6 = 0$
50300	Solve by Factoring	16x^2-8x+1=0	$16 x^{2} - 8 x + 1 = 0$