Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21701	Find the Antiderivative	9	$9$
21702	Find the Antiderivative	9e^x	$9 e^{x}$
21703	Find the Antiderivative	8x^9-2x^6+13x^3	$8 x^{9} - 2 x^{6} + 13 x^{3}$
21704	Find the Antiderivative	9/x	$\frac{9}{x}$
21705	Find the Antiderivative	cos(x)^3	$\cos^{3} (x)$
21706	Find the Derivative - d/dx	(6x)/((x-9)^2)	$\frac{6 x}{{(x - 9)}^{2}}$
21707	Find the Antiderivative	e^(-x/2)	$e^{- \frac{x}{2}}$
21708	Find the Antiderivative	cube root of x^2	$\sqrt[3]{x^{2}}$
21709	Find the Antiderivative	fourth root of x^3+5x	$\sqrt[4]{x^{3} + 5 x}$
21710	Find the Antiderivative	4x^3	$4 x^{3}$
21711	Find the Antiderivative	square root of 1+x	$\sqrt{1 + x}$
21712	Find the Antiderivative	square root of x+1/( square root of x)	$\sqrt{x} + \frac{1}{\sqrt{x}}$
21713	Find the Antiderivative	sin(x)^5	$\sin^{5} (x)$
21714	Find the Antiderivative	arcsin(x)	$\arcsin (x)$
21715	Find the Antiderivative	sec(10x)^2	$\sec^{2} (10 x)$
21716	Find the Antiderivative	-e^(-x)	$- e^{- x}$
21717	Find the Antiderivative	e^7	$e^{7}$
21718	Find the Antiderivative	6/5* fifth root of x	$\frac{6}{5} \cdot \sqrt[5]{x}$
21719	Find the Antiderivative	6/x	$\frac{6}{x}$
21720	Find the Antiderivative	4/( cube root of x)-4 cube root of x^2	$\frac{4}{\sqrt[3]{x}} - 4 \sqrt[3]{x^{2}}$
21721	Find the Antiderivative	2/5-7/x	$\frac{2}{5} - \frac{7}{x}$
21722	Find the Antiderivative	2/3x^2	$\frac{2}{3} x^{2}$
21723	Find the Antiderivative	1/4x	$\frac{1}{4} x$
21724	Find the Antiderivative	10^x	$10^{x}$
21725	Find the Antiderivative	3/( cube root of x^2)	$\frac{3}{\sqrt[3]{x^{2}}}$
21726	Find the Antiderivative	x^(3/2)	$x^{\frac{3}{2}}$
21727	Find the Antiderivative	(2pi)/(cos(x)^2)	$\frac{2 π}{\cos^{2} (x)}$
21728	Find the Antiderivative	-3/4	$- \frac{3}{4}$
21729	Find the Antiderivative	3/4*(sec(x)tan(x))	$\frac{3}{4} \cdot (\sec (x) \tan (x))$
21730	Find the Antiderivative	3/5-4/x	$\frac{3}{5} - \frac{4}{x}$
21731	Find the Antiderivative	12x(x^2+3)^5	$12 x {(x^{2} + 3)}^{5}$
21732	Find the Antiderivative	10x	$10 x$
21733	Find the Antiderivative	x^6	$x^{6}$
21734	Find the Antiderivative	x^6-1/(x^6)	$x^{6} - \frac{1}{x^{6}}$
21735	Find the Antiderivative	x^-9	$x^{- 9}$
21736	Find the Antiderivative	-1	$- 1$
21737	Find the Antiderivative	x^15	$x^{15}$
21738	Find the Antiderivative	x^2.2+x^-1.6	$x^{2.2} + x^{- 1.6}$
21739	Find the Antiderivative	x^2-3x	$x^{2} - 3 x$
21740	Find the Antiderivative	x^-3	$x^{- 3}$
21741	Find the Antiderivative	x^2-4	$x^{2} - 4$
21742	Find the Antiderivative	x/3	$\frac{x}{3}$
21743	Find the Antiderivative	x^(2/3)	$x^{\frac{2}{3}}$
21744	Find the Antiderivative	x^(-2/3)	$x^{- \frac{2}{3}}$
21745	Find the Antiderivative	x^(1/2)+2	$x^{\frac{1}{2}} + 2$
21746	Find the Antiderivative	x^( square root of 3)	$x^{\sqrt{3}}$
21747	Find the Antiderivative	x^( square root of 31)	$x^{\sqrt{31}}$
21748	Find the Antiderivative	x^(-6/5)	$x^{- \frac{6}{5}}$
21749	Find the Function	f''(x)=4x+sin(x)	$f'' (x) = 4 x + \sin (x)$
21750	Find the Function	f''(x)=8x+sin(x)	$f'' (x) = 8 x + \sin (x)$
21751	Find the Function	f''(x)=6+cos(x)	$f'' (x) = 6 + \cos (x)$
21752	Find the Function	s'(t)=t(t-1)^2	$s' (t) = t {(t - 1)}^{2}$
21753	Find the Antiderivative	4/(x^2+2x+1)	$\frac{4}{x^{2} + 2 x + 1}$
21754	Find the Antiderivative	1/(2 square root of x)	$\frac{1}{2 \sqrt{x}}$
21755	Find the Function	f''(x)=cos(x)	$f'' (x) = \cos (x)$
21756	Find the Function	R'(x)=4x(x^2+27000)^(-2/3)	$R' (x) = 4 x {(x^{2} + 27000)}^{- \frac{2}{3}}$
21757	Find the Antiderivative	(x+1/x)^2	${(x + \frac{1}{x})}^{2}$
21758	Find the Antiderivative	1/(x^2+4)	$\frac{1}{x^{2} + 4}$
21759	Find the Antiderivative	(x+2)^(1/2)	${(x + 2)}^{\frac{1}{2}}$
21760	Find the Antiderivative	(x^2)/3	$\frac{x^{2}}{3}$
21761	Find the Antiderivative	-2x^-3+20x^-5	$- 2 x^{- 3} + 20 x^{- 5}$
21762	Find the Function	R'(x)=600-0.6x	$R' (x) = 600 - 0.6 x$
21763	Find the Antiderivative	(x^2+1)/x	$\frac{x^{2} + 1}{x}$
21764	Find the Antiderivative	(x^5-x^3+2x)/(x^4)	$\frac{x^{5} - x^{3} + 2 x}{x^{4}}$
21765	Find the Domain and Range	f(x)=3 log of x+5+29	$f (x) = 3 \log (x + 5) + 29$
21766	Find the Domain and Range	f(x)=3- natural log of x+2	$f (x) = 3 - \ln (x + 2)$
21767	Find the Domain and Range	f(x)=x square root of 400-x^2	$f (x) = x \sqrt{400 - x^{2}}$
21768	Find the Domain and Range	f(x)=x square root of x+4	$f (x) = x \sqrt{x + 4}$
21769	Find the Domain and Range	f(x)=x natural log of x	$f (x) = x \ln (x)$
21770	Find the Domain and Range	G(t)=-t^2+10t-9	$G (t) = - t^{2} + 10 t - 9$
21771	Find the Domain and Range	g(x)=e^(2x)-e^x	$g (x) = e^{2 x} - e^{x}$
21772	Find the Function	f'(x)=sin(pi/4)	$f' (x) = \sin (\frac{π}{4})$
21773	Find the Function	f''(t)=3/( square root of t)	$f'' (t) = \frac{3}{\sqrt{t}}$
21774	Find the Function	f'(t)=82(1-e^(-0.12*8))	$f' (t) = 82 (1 - e^{- 0.12 \cdot 8})$
21775	Find the Function	f'(x)=1+3 square root of x	$f' (x) = 1 + 3 \sqrt{x}$
21776	Find the Function	f'(x)=4/x	$f' (x) = \frac{4}{x}$
21777	Find the Function	f'(x)=6/( square root of x)	$f' (x) = \frac{6}{\sqrt{x}}$
21778	Find the Tangent Line at (π/2,π/4)	ysin(8x)=xcos(2y) , (pi/2,pi/4)	$f' (x) = \frac{- 7 x^{5} + 10 x^{4} \sqrt{8 - 7 \sqrt{x}}}{2 \sqrt{8 - 7 x}}$
21779	Find the Function	f'(x)=(x^3)/3-x^2-3x	$f' (x) = \frac{x^{3}}{3} - x^{2} - 3 x$
21780	Find the Function	f'(x)=1/3*csc(1/3x)^2	$f' (x) = \frac{1}{3} \cdot \csc^{2} (\frac{1}{3} x)$
21781	Find the Function	f''(c)=0	$f'' (c) = 0$
21782	Find the Function	f'(x)=2^20	$f' (x) = 2^{20}$
21783	Simplify/Condense	natural log of 1/(1-x)	$\ln (\frac{1}{1 - x})$
21784	Simplify/Condense	natural log of 4/3+ natural log of 3e- natural log of 4	$\ln (\frac{4}{3}) + \ln (3 e) - \ln (4)$
21785	Simplify/Condense	natural log of e^3+ natural log of 1	$\ln (e^{3}) + \ln (1)$
21786	Simplify/Condense	12 log base 9 of 12-3 log base 9 of 5	$12 \log_{9} (12) - 3 \log_{9} (5)$
21787	Find dy/dx	y=11^x	$y = 11^{x}$
21788	Simplify/Condense	3 log of 2+1/2* log of 25- log of 20	$3 \log (2) + \frac{1}{2} \cdot \log (25) - \log (20)$
21789	Simplify/Condense	e^(5 natural log of x+cos(x))	$e^{5 \ln (x + \cos (x))}$
21790	Simplify/Condense	e^(9 natural log of x)	$e^{9 \ln (x)}$
21791	Simplify/Condense	d/(dx)*( natural log of x)	$\frac{d}{d x} \cdot (\ln (x))$
21792	Simplify/Condense	log base 5 of 180- log base 5 of 75- log base 5 of 60	$\log_{5} (180) - \log_{5} (75) - \log_{5} (60)$
21793	Simplify/Condense	log base 5 of 125/3	$\log_{5} (\frac{125}{3})$
21794	Simplify/Condense	log base 8 of 2+ log base 4 of 2	$\log_{8} (2) + \log_{4} (2)$
21795	Simplify/Condense	1/2* natural log of 16	$\frac{1}{2} \cdot \ln (16)$
21796	Simplify/Condense	15( natural log of x- natural log of x+5)-4/15*( natural log of x- natural log of x+5)	$15 (\ln (x) - \ln (x + 5)) - \frac{4}{15} \cdot (\ln (x) - \ln (x + 5))$
21797	Simplify/Condense	2 log of square root of x+3 log of x^(1/3)	$2 \log (\sqrt{x}) + 3 \log (x^{\frac{1}{3}})$
21798	Simplify/Condense	natural log of 9- natural log of 1	$\ln (9) - \ln (1)$
21799	Simplify/Condense	natural log of a+ natural log of b	$\ln (a) + \ln (b)$
21800	Simplify/Condense	natural log of x-2- natural log of x+2	$\ln (x - 2) - \ln (x + 2)$