Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
101	Find the Derivative - d/dx	square root of x^3	$\sqrt{x^{3}}$
102	Find the Derivative - d/dx	e^(-x^2)	$e^{- x^{2}}$
103	Find the Derivative - d/d@VAR	f(x)=1/x	$f (x) = \frac{1}{x}$
104	Find the Derivative - d/dx	4x^2	$4 x^{2}$
105	Evaluate the Integral	integral of x^-2 with respect to x	$\int x^{- 2} d x$
106	Evaluate the Integral	integral of (e^( square root of x))/( square root of x) with respect to x	$\int \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$
107	Find the Derivative - d/dx	5^x	$5^{x}$
108	Find the Derivative - d/dx	2x^3	$2 x^{3}$
109	Simplify	cube root of x	$\sqrt[3]{x}$
110	Evaluate the Limit	limit as x approaches 0 of 1/x	$lim_{x \to 0} \frac{1}{x}$
111	Find the Derivative - d/dx	3/(x^2)	$\frac{3}{x^{2}}$
112	Find the Derivative - d/dx	x/(x+1)	$\frac{x}{x + 1}$
113	Find the Derivative - d/dx	f(x)=1/x	$f (x) = \frac{1}{x}$
114	Find the Derivative - d/dx	f(x)=x^2	$f (x) = x^{2}$
115	Evaluate the Integral	integral of csc(x)^2 with respect to x	$\int \csc^{2} (x) d x$
116	Evaluate the Integral	integral of e^(-3x) with respect to x	$\int e^{- 3 x} d x$
117	Find the Derivative - d/dx	1-x^2	$1 - x^{2}$
118	Find the Derivative - d/dx	xsin(x)	$x \sin (x)$
119	Find the Derivative - d/dy	y^2	$y^{2}$
120	Find the Derivative - d/dx	sin(x)^3	$\sin^{3} (x)$
121	Evaluate the Integral	integral from 0 to 1 of (x^2+1)e^(-x) with respect to x	$\int_{0}^{1} (x^{2} + 1) e^{- x} d x$
122	Evaluate the Integral	integral of 1/( square root of x) with respect to x	$\int \frac{1}{\sqrt{x}} d x$
123	Evaluate the Integral	integral of te^(-3t) with respect to t	$\int t e^{- 3 t} d t$
124	Evaluate the Integral	integral of tan(x) with respect to x	$\int \tan (x) d x$
125	Find the Derivative - d/dx	5x^2	$5 x^{2}$
126	Find the Derivative - d/dx	square root of 1-x^2	$\sqrt{1 - x^{2}}$
127	Find the Derivative - d/dx	4^x	$4^{x}$
128	Find the Derivative - d/dx	natural log of natural log of x	$\ln (\ln (x))$
129	Find the Derivative - d/dx	cos(x)^3	$\cos^{3} (x)$
130	Find the Derivative - d/dx	natural log of x^2+1	$\ln (x^{2} + 1)$
131	Evaluate the Integral	integral of -cos(x) with respect to x	$\int - \cos (x) d x$
132	Evaluate the Integral	integral of x^-1 with respect to x	$\int x^{- 1} d x$
133	Find the Derivative - d/dx	natural log of sin(x)	$\ln (\sin (x))$
134	Find the Derivative - d/dx	2xy	$2 x y$
135	Find the Derivative - d/dx	y=x^3	$y = x^{3}$
136	Evaluate the Limit	limit as x approaches 1 of f(x)	$lim_{x \to 1} f (x)$
137	Find the Derivative - d/dx	8/(x^2)	$\frac{8}{x^{2}}$
138	Evaluate the Integral	integral of cos(5x) with respect to x	$\int \cos (5 x) d x$
139	Find the Derivative - d/dx	x^2e^x	$x^{2} e^{x}$
140	Find the Derivative - d/dx	-x^2	$- x^{2}$
141	Find the Derivative - d/dx	natural log of cos(x)	$\ln (\cos (x))$
142	Find the Derivative - d/dx	f(x)=cos(x)	$f (x) = \cos (x)$
143	Find the Derivative - d/dx	4e^x	$4 e^{x}$
144	Evaluate the Integral	integral of x^2e^(x^3) with respect to x	$\int x^{2} e^{x^{3}} d x$
145	Evaluate the Integral	integral of xe^(-x) with respect to x	$\int x e^{- x} d x$
146	Find the Derivative - d/dx	2x^2+x-1	$2 x^{2} + x - 1$
147	Find the Derivative - d/dx	f(x)=x	$f (x) = x$
148	Find the Derivative - d/dx	2cos(x)	$2 \cos (x)$
149	Find the Derivative - d/dx	(e^x)/x	$\frac{e^{x}}{x}$
150	Find the Derivative - d/dx	2 natural log of x	$2 \ln (x)$
151	Find the Derivative - d/dx	x^2 natural log of x	$x^{2} \ln (x)$
152	Find the Derivative - d/dx	1/(x^2+1)	$\frac{1}{x^{2} + 1}$
153	Find the Integral	e^x	$e^{x}$
154	Find the Derivative - d/dx	x/(x^2+1)	$\frac{x}{x^{2} + 1}$
155	Find the Derivative - d/d@VAR	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
156	Find the Derivative of the Integral	integral of x^2 with respect to x	$\int x^{2} d x$
157	Evaluate the Integral	integral from -2 to 2 of square root of 4-x^2 with respect to x	$\int_{- 2}^{2} \sqrt{4 - x^{2}} d x$
158	Evaluate the Integral	integral from 1 to 5 of (( natural log of x)^2)/(x^3) with respect to x	$\int_{1}^{5} \frac{\ln^{2} (x)}{x^{3}} d x$
159	Find the Integral	1/x	$\frac{1}{x}$
160	Find the Derivative - d/dx	5/(x^2)	$\frac{5}{x^{2}}$
161	Find the Derivative - d/dx	x^e	$x^{e}$
162	Evaluate the Limit	limit as x approaches 0 of (sin(3x))/x	$lim_{x \to 0} \frac{\sin (3 x)}{x}$
163	Find the Derivative - d/dx	(x^3+x+4)/(2x)	$\frac{x^{3} + x + 4}{2 x}$
164	Find the Derivative - d/d@VAR	f(x)=x^2	$f (x) = x^{2}$
165	Find the Derivative - d/dx	1/(x-1)	$\frac{1}{x - 1}$
166	Find the Derivative - d/dx	natural log of (x)^3	$\ln ({(x)}^{3})$
167	Find the Derivative - d/dx	natural log of 2	$\ln (2)$
168	Evaluate	cot(0)	$\cot (0)$
169	Evaluate the Integral	integral of e^(5x) with respect to x	$\int e^{5 x} d x$
170	Evaluate the Integral	integral from 1 to 7 of (( natural log of x)^2)/(x^3) with respect to x	$\int_{1}^{7} \frac{\ln^{2} (x)}{x^{3}} d x$
171	Find the Derivative - d/dx	(x^2-1)/(x^2+x+1)	$\frac{x^{2} - 1}{x^{2} + x + 1}$
172	Find the Derivative - d/dx	natural log of 4x	$\ln (4 x)$
173	Find the Derivative - d/dx	3/x	$\frac{3}{x}$
174	Find the Derivative - d/dx	e^5	$e^{5}$
175	Evaluate the Integral	integral from 1 to 2 of (( natural log of x)^2)/(x^3) with respect to x	$\int_{1}^{2} \frac{\ln^{2} (x)}{x^{3}} d x$
176	Evaluate the Integral	integral of sec(x)^3 with respect to x	$\int \sec^{3} (x) d x$
177	Evaluate the Integral	integral of (x^2+2x)cos(x) with respect to x	$\int (x^{2} + 2 x) \cos (x) d x$
178	Evaluate the Integral	integral from 1 to 3 of (( natural log of x)^2)/(x^3) with respect to x	$\int_{1}^{3} \frac{\ln^{2} (x)}{x^{3}} d x$
179	Evaluate the Integral	integral of sin(3x) with respect to x	$\int \sin (3 x) d x$
180	Evaluate the Integral	integral of 1/(9x^2+16) with respect to x	$\int \frac{1}{9 x^{2} + 16} d x$
181	Evaluate	square root of infinity	$\sqrt{\infty}$
182	Find the Derivative - d/dx	y=e^x	$y = e^{x}$
183	Find the Derivative - d/dx	-1/(x^2)	$- \frac{1}{x^{2}}$
184	Find the Derivative - d/dx	x^2-1	$x^{2} - 1$
185	Find the Derivative - d/dx	csc(x)^2	$\csc^{2} (x)$
186	Evaluate the Limit	limit as x approaches 8 of cos(x)	$lim_{x \to 8} \cos (x)$
187	Evaluate the Integral	integral of e^(4x) with respect to x	$\int e^{4 x} d x$
188	Evaluate the Integral	integral of -e^(-x) with respect to x	$\int - e^{- x} d x$
189	Evaluate the Integral	integral of 3x with respect to x	$\int 3 x d x$
190	Evaluate the Integral	integral from 1 to 2 of (e^(1/(x^4)))/(x^5) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{4}}}}{x^{5}} d x$
191	Find the Derivative - d/dx	sin(4x)	$\sin (4 x)$
192	Find the Derivative - d/dx	6e^x	$6 e^{x}$
193	Find the Derivative - d/dx	sin(5x)	$\sin (5 x)$
194	Find the Derivative - d/dx	9/(x^2)	$\frac{9}{x^{2}}$
195	Evaluate the Limit	( limit as x approaches 0 of sin(x))/x	$\frac{lim_{x \to 0} \sin (x)}{x}$
196	Find the Antiderivative	1/x	$\frac{1}{x}$
197	Find the Derivative - d/dx	square root of xsin(x)	$\sqrt{x} \sin (x)$
198	Find the Derivative - d/dx	e^3	$e^{3}$
199	Find dy/dx	x^2+y^2=25	$x^{2} + y^{2} = 25$
200	Find dy/dx	2xy-y^2=1	$2 x y - y^{2} = 1$