Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1	Find the Derivative - d/dx	natural log of x	$\ln (x)$
2	Evaluate the Integral	integral of natural log of x with respect to x	$\int \ln (x) d x$
3	Find the Derivative - d/dx	e^x	$e^{x}$
4	Evaluate the Integral	integral of e^(2x) with respect to x	$\int e^{2 x} d x$
5	Find the Derivative - d/dx	1/x	$\frac{1}{x}$
6	Find the Derivative - d/dx	x^2	$x^{2}$
7	Find the Derivative - d/dx	1/(x^2)	$\frac{1}{x^{2}}$
8	Find the Derivative - d/dx	sin(x)^2	$\sin^{2} (x)$
9	Find the Derivative - d/dx	sec(x)	$\sec (x)$
10	Evaluate the Integral	integral of e^x with respect to x	$\int e^{x} d x$
11	Evaluate the Integral	integral of x^2 with respect to x	$\int x^{2} d x$
12	Evaluate the Integral	integral of square root of x with respect to x	$\int \sqrt{x} d x$
13	Find the Derivative - d/dx	cos(x)^2	$\cos^{2} (x)$
14	Evaluate the Integral	integral of 1/x with respect to x	$\int \frac{1}{x} d x$
15	Evaluate the Integral	integral of sin(x)^2 with respect to x	$\int \sin^{2} (x) d x$
16	Find the Derivative - d/dx	x^3	$x^{3}$
17	Find the Derivative - d/dx	sec(x)^2	$\sec^{2} (x)$
18	Evaluate the Integral	integral of cos(x)^2 with respect to x	$\int \cos^{2} (x) d x$
19	Evaluate the Integral	integral of sec(x)^2 with respect to x	$\int \sec^{2} (x) d x$
20	Find the Derivative - d/dx	e^(x^2)	$e^{x^{2}}$
21	Evaluate the Integral	integral from 0 to 1 of cube root of 1+7x with respect to x	$\int_{0}^{1} \sqrt[3]{1 + 7 x} d x$
22	Find the Derivative - d/dx	sin(2x)	$\sin (2 x)$
23	Find the Derivative - d/dx	tan(x)^2	$\tan^{2} (x)$
24	Evaluate the Integral	integral of 1/(x^2) with respect to x	$\int \frac{1}{x^{2}} d x$
25	Find the Derivative - d/dx	2^x	$2^{x}$
26	Graph	natural log of a	$\ln (a)$
27	Find the Derivative - d/dx	cos(2x)	$\cos (2 x)$
28	Find the Derivative - d/dx	xe^x	$x e^{x}$
29	Evaluate the Integral	integral of 2x with respect to x	$\int 2 x d x$
30	Find the Derivative - d/dx	( natural log of x)^2	$\ln^{2} (x)$
31	Find the Derivative - d/dx	natural log of (x)^2	$\ln ({(x)}^{2})$
32	Find the Derivative - d/dx	3x^2	$3 x^{2}$
33	Evaluate the Integral	integral of xe^(2x) with respect to x	$\int x e^{2 x} d x$
34	Find the Derivative - d/dx	2e^x	$2 e^{x}$
35	Find the Derivative - d/dx	natural log of 2x	$\ln (2 x)$
36	Find the Derivative - d/dx	-sin(x)	$- \sin (x)$
37	Find the Derivative - d/dx	4x^2-x+5	$4 x^{2} - x + 5$
38	Find the Derivative - d/dx	y=16 fourth root of 4x^4+4	$y = 16 \sqrt[4]{4 x^{4} + 4}$
39	Find the Derivative - d/dx	2x^2	$2 x^{2}$
40	Evaluate the Integral	integral of e^(3x) with respect to x	$\int e^{3 x} d x$
41	Evaluate the Integral	integral of cos(2x) with respect to x	$\int \cos (2 x) d x$
42	Find the Derivative - d/dx	1/( square root of x)	$\frac{1}{\sqrt{x}}$
43	Evaluate the Integral	integral of e^(x^2) with respect to x	$\int e^{x^{2}} d x$
44	Evaluate	e^infinity	$e^{\infty}$
45	Find the Derivative - d/dx	x/2	$\frac{x}{2}$
46	Find the Derivative - d/dx	-cos(x)	$- \cos (x)$
47	Find the Derivative - d/dx	sin(3x)	$\sin (3 x)$
48	Find the Derivative - d/dx	1/(x^3)	$\frac{1}{x^{3}}$
49	Evaluate the Integral	integral of tan(x)^2 with respect to x	$\int \tan^{2} (x) d x$
50	Evaluate the Integral	integral of 1 with respect to x	$\int 1 d x$
51	Find the Derivative - d/dx	x^x	$x^{x}$
52	Find the Derivative - d/dx	x natural log of x	$x \ln (x)$
53	Find the Derivative - d/dx	x^4	$x^{4}$
54	Evaluate the Limit	limit as x approaches 3 of (3x-5)/(x-3)	$lim_{x \to 3} \frac{3 x - 5}{x - 3}$
55	Evaluate the Integral	integral of x^2 natural log of x with respect to x	$\int x^{2} \ln (x) d x$
56	Find the Derivative - d/dx	f(x) = square root of x	$f (x) = \sqrt{x}$
57	Find the Derivative - d/dx	x^2sin(x)	$x^{2} \sin (x)$
58	Evaluate the Integral	integral of sin(2x) with respect to x	$\int \sin (2 x) d x$
59	Find the Derivative - d/dx	3e^x	$3 e^{x}$
60	Evaluate the Integral	integral of xe^x with respect to x	$\int x e^{x} d x$
61	Find the Derivative - d/dx	y=x^2	$y = x^{2}$
62	Find the Derivative - d/dx	square root of x^2+1	$\sqrt{x^{2} + 1}$
63	Find the Derivative - d/dx	sin(x^2)	$\sin (x^{2})$
64	Evaluate the Integral	integral of e^(-2x) with respect to x	$\int e^{- 2 x} d x$
65	Evaluate the Integral	integral of natural log of square root of x with respect to x	$\int \ln (\sqrt{x}) d x$
66	Find the Derivative - d/dx	e^2	$e^{2}$
67	Find the Derivative - d/dx	x^2+1	$x^{2} + 1$
68	Evaluate the Integral	integral of sin(x) with respect to x	$\int \sin (x) d x$
69	Find the Derivative - d/dx	arcsin(x)	$\arcsin (x)$
70	Evaluate the Limit	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
71	Evaluate the Integral	integral of e^(-x) with respect to x	$\int e^{- x} d x$
72	Find the Derivative - d/dx	x^5	$x^{5}$
73	Find the Derivative - d/dx	2/x	$\frac{2}{x}$
74	Find the Derivative - d/dx	natural log of 3x	$\ln (3 x)$
75	Find the Derivative - d/dx	x^(1/2)	$x^{\frac{1}{2}}$
76	Find the Derivative - d/d@VAR	f(x) = square root of x	$f (x) = \sqrt{x}$
77	Find the Derivative - d/dx	cos(x^2)	$\cos (x^{2})$
78	Find the Derivative - d/dx	1/(x^5)	$\frac{1}{x^{5}}$
79	Find the Derivative - d/dx	cube root of x^2	$\sqrt[3]{x^{2}}$
80	Evaluate the Integral	integral of cos(x) with respect to x	$\int \cos (x) d x$
81	Evaluate the Integral	integral of e^(-x^2) with respect to x	$\int e^{- x^{2}} d x$
82	Find the Derivative - d/d@VAR	f(x)=x^3	$f (x) = x^{3}$
83	Evaluate the Integral	integral from 0 to 10 of 4x^2+7 with respect to x	$\int_{0}^{10} 4 x^{2} + 7 d x$
84	Evaluate the Integral	integral of ( natural log of x)^2 with respect to x	$\int \ln^{2} (x) d x$
85	Find the Derivative - d/dx	log of x	$\log (x)$
86	Find the Derivative - d/dx	arctan(x)	$\arctan (x)$
87	Find the Derivative - d/dx	natural log of 5x	$\ln (5 x)$
88	Find the Derivative - d/dx	5e^x	$5 e^{x}$
89	Find the Derivative - d/dx	cos(3x)	$\cos (3 x)$
90	Evaluate the Integral	integral of x^3 with respect to x	$\int x^{3} d x$
91	Evaluate the Integral	integral of x^2e^x with respect to x	$\int x^{2} e^{x} d x$
92	Find the Derivative - d/dx	16 fourth root of 4x^4+4	$16 \sqrt[4]{4 x^{4} + 4}$
93	Find the Derivative - d/dx	x/(e^x)	$\frac{x}{e^{x}}$
94	Evaluate the Limit	limit as x approaches 3 of arctan(e^x)	$lim_{x \to 3} \arctan (e^{x})$
95	Evaluate the Integral	integral of (e^x-e^(-x))/(e^x+e^(-x)) with respect to x	$\int \frac{e^{x} - e^{- x}}{e^{x} + e^{- x}} d x$
96	Find the Derivative - d/dx	3^x	$3^{x}$
97	Evaluate the Integral	integral of xe^(x^2) with respect to x	$\int x e^{x^{2}} d x$
98	Find the Derivative - d/dx	2sin(x)	$2 \sin (x)$
99	Evaluate	sec(0)^2	$\sec^{2} (0)$
100	Find the Derivative - d/dx	natural log of x^2	$\ln (x^{2})$