Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61301	Find the Average Value of the Function	f(x)=x^2+x-12 ; [0,24]	$f (x) = x^{2} + x - 12$ ; $[0, 24]$
61302	Find the Average Value of the Function	f(t)=te^(-t^2) , [0,7]	$f (t) = t e^{- t^{2}}$ , $[0, 7]$
61303	Find the Average Value of the Function	f(x)=1/(x^2+4) ; [-2,2]	$f (x) = \frac{1}{x^{2} + 4}$ ; $[- 2, 2]$
61304	Find the Average Value of the Function	y=5e^(-x) ; [0,2]	$y = 5 e^{- x}$ ; $[0, 2]$
61305	Find the Average Value of the Function	y=7e^(-x) ; [0,2]	$y = 7 e^{- x}$ ; $[0, 2]$
61306	Find the Average Value of the Function	g(t)=e^t , [0,9]	$g (t) = e^{t}$ , $[0, 9]$
61307	Find the Asymptotes	f(x)=(2x^2)/(x^2+x-6)	$f (x) = \frac{2 x^{2}}{x^{2} + x - 6}$
61308	Find the Asymptotes	f(x)=1/( square root of xsec(x))	$f (x) = \frac{1}{\sqrt{x} \sec (x)}$
61309	Find the Area Under the Curve	y=-x^2-3x , -4<=x<=2	$y = - x^{2} - 3 x$ , $- 4 \leq x \leq 2$
61310	Find the Area Under the Curve	y=-x^2-3x , -5<=x<=4	$y = - x^{2} - 3 x$ , $- 5 \leq x \leq 4$
61311	Find the Area Under the Curve	y=-x^2-3x , -6<=x<=4	$y = - x^{2} - 3 x$ , $- 6 \leq x \leq 4$
61312	Find the Area Under the Curve	y=6sin(x) , 0<=x<=pi	$y = 6 \sin (x)$ , $0 \leq x \leq π$
61313	Find the Area Under the Curve	y=9sin(x) , 0<=x<=pi	$y = 9 \sin (x)$ , $0 \leq x \leq π$
61314	Find the Area Under the Curve	y=sin(x) , 0<=x<=pi/3	$y = \sin (x)$ , $0 \leq x \leq \frac{π}{3}$
61315	Find the Area Under the Curve	y=2sin(x) , 0<=x<=pi	$y = 2 \sin (x)$ , $0 \leq x \leq π$
61316	Find the Area Under the Curve	y=2x+7 ; [1,5]	$y = 2 x + 7$ ; $[1, 5]$
61317	Find the Area Under the Curve	y=2x-x^2 ; [0,2]	$y = 2 x - x^{2}$ ; $[0, 2]$
61318	Find the Maximum/Minimum Value	xe^(-2x)	$x e^{- 2 x}$
61319	Find the Second Derivative	f(x)=x^3-6x	$f (x) = x^{3} - 6 x$
61320	Find the Second Derivative	f(x)=x^(6/7)	$f (x) = x^{\frac{6}{7}}$
61321	Find the Fourth Derivative	f(x)=2x^5-x^4-x+1	$f (x) = 2 x^{5} - x^{4} - x + 1$
61322	Find the Inverse	f(x)=x^3+6x-1	$f (x) = x^{3} + 6 x - 1$
61323	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^2	$f (x) = x^{4} - 4 x^{2}$
61324	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-2x^3	$f (x) = x^{4} - 2 x^{3}$
61325	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-6x^2-36x	$f (x) = x^{3} - 6 x^{2} - 36 x$
61326	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4e^(-x)	$f (x) = x^{4} e^{- x}$
61327	Find Where Increasing/Decreasing Using Derivatives	f(x)=x-9x^(1/3)	$f (x) = x - 9 x^{\frac{1}{3}}$
61328	Find Where Increasing/Decreasing Using Derivatives	f(x)=xe^(-2x)	$f (x) = x e^{- 2 x}$
61329	Find the Inverse	f(x) = fifth root of 3x-1	$f (x) = \sqrt[5]{3 x - 1}$
61330	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-24x-4	$f (x) = 2 x^{3} - 24 x - 4$
61331	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-18x^2+4	$f (x) = 2 x^{3} - 18 x^{2} + 4$
61332	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^3+12x^2-18x+6	$f (x) = - 2 x^{3} + 12 x^{2} - 18 x + 6$
61333	Find Where Increasing/Decreasing Using Derivatives	f(x)=e^(6x)+e^(-x)	$f (x) = e^{6 x} + e^{- x}$
61334	Find Where Increasing/Decreasing Using Derivatives	f(x)=9x^6-11x^5	$f (x) = 9 x^{6} - 11 x^{5}$
61335	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x+11	$f (x) = x^{3} - 12 x + 11$
61336	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x-x^2	$f (x) = 4 x - x^{2}$
61337	Find Where Increasing/Decreasing Using Derivatives	f(x)=2xe^x	$f (x) = 2 x e^{x}$
61338	Find Where Increasing/Decreasing Using Derivatives	f(x)=-3x^4+28x^3-60x^2	$f (x) = - 3 x^{4} + 28 x^{3} - 60 x^{2}$
61339	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-12x^3	$f (x) = 3 x^{4} - 12 x^{3}$
61340	Find the Antiderivative	f(x)=x^n	$f (x) = x^{n}$
61341	Find the Antiderivative	f(z) = cube root of z^2	$f (z) = \sqrt[3]{z^{2}}$
61342	Find the Antiderivative	g(t)=t^9+t^8	$g (t) = t^{9} + t^{8}$
61343	Find the Antiderivative	g(z) = square root of z^11	$g (z) = \sqrt{z^{11}}$
61344	Find the Antiderivative	p(t)=t^8-(t^7)/2-t	$p (t) = t^{8} - \frac{t^{7}}{2} - t$
61345	Find the Antiderivative	q(y)=y^7+1/y	$q (y) = y^{7} + \frac{1}{y}$
61346	Find the Antiderivative	q(y)=y^8+1/y	$q (y) = y^{8} + \frac{1}{y}$
61347	Find the Antiderivative	h(z)=5/z	$h (z) = \frac{5}{z}$
61348	Find the Antiderivative	k(x)=-1/9x^(-10/9)	$k (x) = - \frac{1}{9} x^{- \frac{10}{9}}$
61349	Find the Antiderivative	p(t)=t^3-(t^2)/2-t	$p (t) = t^{3} - \frac{t^{2}}{2} - t$
61350	Find the Antiderivative	g(t)=e^(-9t)	$g (t) = e^{- 9 t}$
61351	Find the Antiderivative	h(z)=7/z	$h (z) = \frac{7}{z}$
61352	Find the Antiderivative	q(y)=y^2+1/y	$q (y) = y^{2} + \frac{1}{y}$
61353	Find the Antiderivative	R(theta)=sec(theta)tan(theta)-3e^theta	$R (θ) = \sec (θ) \tan (θ) - 3 e^{θ}$
61354	Find the Antiderivative	v(t)=96-32t	$v (t) = 96 - 32 t$
61355	Find the Antiderivative	v(t)=sin(t)-cos(t)	$v (t) = \sin (t) - \cos (t)$
61356	Find the Antiderivative	f(x)=sin(8x)	$f (x) = \sin (8 x)$
61357	Find the Antiderivative	f(x)=cos(9x)	$f (x) = \cos (9 x)$
61358	Find the Antiderivative	f(x)=7x^(2/5)+2x^(-4/5)	$f (x) = 7 x^{\frac{2}{5}} + 2 x^{- \frac{4}{5}}$
61359	Find the Antiderivative	f(x)=6x^5	$f (x) = 6 x^{5}$
61360	Find the Antiderivative	f(x)=7x^(2/5)-16x^(3/5)	$f (x) = 7 x^{\frac{2}{5}} - 16 x^{\frac{3}{5}}$
61361	Find the Antiderivative	f(x)=sin(4x)	$f (x) = \sin (4 x)$
61362	Find the Antiderivative	f(x)=pi^3	$f (x) = π^{3}$
61363	Find the Antiderivative	f(x)=19x^18	$f (x) = 19 x^{18}$
61364	Find the Antiderivative	f(x)=16x^15	$f (x) = 16 x^{15}$
61365	Find the Antiderivative	f(x)=14e^x	$f (x) = 14 e^{x}$
61366	Find the Antiderivative	f(x)=14	$f (x) = 14$
61367	Find the Antiderivative	f(x)=12e^x	$f (x) = 12 e^{x}$
61368	Find the Antiderivative	f(x)=11x^(4/7)+7x^(-6/7)	$f (x) = 11 x^{\frac{4}{7}} + 7 x^{- \frac{6}{7}}$
61369	Find the Antiderivative	f(x)=2x^(3/5)-2/(x^3)+6x+2sin(x)+ natural log of 3	$f (x) = 2 x^{\frac{3}{5}} - \frac{2}{x^{3}} + 6 x + 2 \sin (x) + \ln (3)$
61370	Find the Antiderivative	f(x)=23x^22	$f (x) = 23 x^{22}$
61371	Find the Antiderivative	f(x)=24x^3-15x^2+10x	$f (x) = 24 x^{3} - 15 x^{2} + 10 x$
61372	Find the Antiderivative	f(x)=25x^24	$f (x) = 25 x^{24}$
61373	Find the Antiderivative	f(x)=26x^25	$f (x) = 26 x^{25}$
61374	Find the Antiderivative	f(x)=30x^29	$f (x) = 30 x^{29}$
61375	Find the Antiderivative	f(x)=31x^30	$f (x) = 31 x^{30}$
61376	Find the Antiderivative	f(x)=4x^2-x	$f (x) = 4 x^{2} - x$
61377	Find the Antiderivative	f(x)=4x-5	$f (x) = 4 x - 5$
61378	Find the Antiderivative	f(x)=1/2x^2-2x+9	$f (x) = \frac{1}{2} x^{2} - 2 x + 9$
61379	Find the Antiderivative	f(x)=1/(x^2+36)	$f (x) = \frac{1}{x^{2} + 36}$
61380	Find the Antiderivative	f(x)=4/(x^5)-3/(x^4)	$f (x) = \frac{4}{x^{5}} - \frac{3}{x^{4}}$
61381	Find the Antiderivative	f(x)=7/( square root of x)	$f (x) = \frac{7}{\sqrt{x}}$
61382	Find the Antiderivative	f(x)=7/(x^4)	$f (x) = \frac{7}{x^{4}}$
61383	Find the Antiderivative	f(t)=3t^3+4t^4+5t^5	$f (t) = 3 t^{3} + 4 t^{4} + 5 t^{5}$
61384	Find the Antiderivative	f(t)=(t^4-1)/t	$f (t) = \frac{t^{4} - 1}{t}$
61385	Convert to Rectangular Coordinates	(2,2pi)	$(2, 2 π)$
61386	Convert to Rectangular Coordinates	(1,pi/3)	$(1, \frac{π}{3})$
61387	Convert to Rectangular Coordinates	(0,pi/4)	$(0, \frac{π}{4})$
61388	Convert to Rectangular Coordinates	(0,pi/6)	$(0, \frac{π}{6})$
61389	Convert to Rectangular Coordinates	(-5,pi/3)	$(- 5, \frac{π}{3})$
61390	Convert to Rectangular Coordinates	(6,(3pi)/2)	$(6, \frac{3 π}{2})$
61391	Convert to Rectangular Coordinates	(-5,0)	$(- 5, 0)$
61392	Convert to Rectangular Coordinates	(5,150 degrees )	$(5, 150 °)$
61393	Convert to Rectangular Coordinates	(3,60 degrees )	$(3, 60 °)$
61394	Convert to Rectangular Coordinates	(4,120 degrees )	$(4, 120 °)$
61395	Find the Derivative - d/dm	e^(-mx)	$e^{- m x}$
61396	Find the Derivative - d/dn	y=1/(n+ke^n)	$y = \frac{1}{n + k e^{n}}$
61397	Find the Derivative - d/dp	square root of 100-2p	$\sqrt{100 - 2 p}$
61398	Find the Derivative - d/dh	( square root of hw)/60	$\frac{\sqrt{h w}}{60}$
61399	Find the Derivative - d/db	1/5(100-b)	$\frac{1}{5} (100 - b)$
61400	Find the Derivative - d/da	(7a+1)^2	${(7 a + 1)}^{2}$