Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201	Find the Derivative - d/dx	y=5x^2e^(3x)	$y = 5 x^{2} e^{3 x}$
202	Find the Derivative - d/dx	f(x)=e^x	$f (x) = e^{x}$
203	Find the Derivative - d/dx	6x^2	$6 x^{2}$
204	Evaluate the Integral	integral of (e^( square root of y))/( square root of y) with respect to y	$\int \frac{e^{\sqrt{y}}}{\sqrt{y}} d y$
205	Evaluate the Integral	integral from 1 to 2 of (e^(1/(x^5)))/(x^6) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{5}}}}{x^{6}} d x$
206	Evaluate the Integral	integral of xcos(5x) with respect to x	$\int x \cos (5 x) d x$
207	Find the Derivative - d/dx	e^(1/x)	$e^{\frac{1}{x}}$
208	Find the Derivative - d/dx	1-cos(x)	$1 - \cos (x)$
209	Find the Derivative - d/dx	3 square root of x+5	$3 \sqrt{x + 5}$
210	Find the Derivative - d/dx	cos(x)^4	$\cos^{4} (x)$
211	Find the Derivative - d/dx	4x^3	$4 x^{3}$
212	Evaluate the Integral	integral of sin(x)^3 with respect to x	$\int \sin^{3} (x) d x$
213	Find the Derivative - d/dx	9e^x	$9 e^{x}$
214	Find the Derivative - d/dx	3cos(x)	$3 \cos (x)$
215	Find the Derivative - d/dx	1/(x^4)	$\frac{1}{x^{4}}$
216	Find the Area Between the Curves	2x+y^2=8 , x=y	$2 x + y^{2} = 8$ , $x = y$
217	Evaluate the Integral	integral of 2 with respect to x	$\int 2 d x$
218	Graph	natural log of x^2	$\ln (x^{2})$
219	Find the Derivative - d/dx	8^x	$8^{x}$
220	Find the Derivative - d/dx	x^6	$x^{6}$
221	Find the Derivative - d/dx	7/(x^2)	$\frac{7}{x^{2}}$
222	Find the Derivative - d/dx	x^(1/3)	$x^{\frac{1}{3}}$
223	Find the Derivative - d/dx	f(x)=tan(x)	$f (x) = \tan (x)$
224	Find the Derivative - d/dx	x^2+x	$x^{2} + x$
225	Find the Derivative - d/dx	7e^x	$7 e^{x}$
226	Evaluate the Integral	integral of e^(6x) with respect to x	$\int e^{6 x} d x$
227	Find the Derivative - d/dx	tan(2x)	$\tan (2 x)$
228	Find the Derivative - d/dx	arccos(x)	$\arccos (x)$
229	Find the Derivative - d/dx	cos(5x)	$\cos (5 x)$
230	Find the Derivative - d/dx	( square root of x(x-3))/3	$\frac{\sqrt{x} (x - 3)}{3}$
231	Find the Derivative - d/dx	(sin(x))/x	$\frac{\sin (x)}{x}$
232	Find the Derivative - d/dx	(x^2)/8	$\frac{x^{2}}{8}$
233	Find the Derivative - d/dx	6/(x^2)	$\frac{6}{x^{2}}$
234	Find the Derivative - d/dx	x^2-5	$x^{2} - 5$
235	Find the Derivative - d/dx	y=1/(x^2)	$y = \frac{1}{x^{2}}$
236	Find the Derivative - d/dx	x^(2/3)	$x^{\frac{2}{3}}$
237	Find the Derivative - d/d@VAR	f(x)=3x^2	$f (x) = 3 x^{2}$
238	Evaluate the Integral	integral of cos(3x) with respect to x	$\int \cos (3 x) d x$
239	Evaluate the Limit	limit as x approaches 9 of ( square root of x-3)/(x-9)	$lim_{x \to 9} \frac{\sqrt{x} - 3}{x - 9}$
240	Evaluate the Limit	limit as x approaches -4 of ( square root of x^2+9-5)/(x+4)	$lim_{x \to - 4} \frac{\sqrt{x^{2} + 9} - 5}{x + 4}$
241	Evaluate	csc(0)	$\csc (0)$
242	Evaluate the Integral	integral of e^(x^3) with respect to x	$\int e^{x^{3}} d x$
243	Evaluate the Integral	integral of 1/(x^2+1) with respect to x	$\int \frac{1}{x^{2} + 1} d x$
244	Evaluate the Integral	integral of e^(-4x) with respect to x	$\int e^{- 4 x} d x$
245	Evaluate the Integral	integral from 0 to 2pi of sin(x) with respect to x	$\int_{0}^{2 π} \sin (x) d x$
246	Evaluate the Integral	integral of 2^x with respect to x	$\int 2^{x} d x$
247	Evaluate the Integral	integral of 1/(1+x^2) with respect to x	$\int \frac{1}{1 + x^{2}} d x$
248	Evaluate the Limit	( limit as x approaches 1 of x^2-1)/(x-1)	$\frac{lim_{x \to 1} x^{2} - 1}{x - 1}$
249	Find the Derivative - d/dx	1/3(x^2+2)^(3/2)	$\frac{1}{3} {(x^{2} + 2)}^{\frac{3}{2}}$
250	Find the Derivative - d/dx	e^xcos(x)	$e^{x} \cos (x)$
251	Find the Derivative - d/dx	e^(x^3)	$e^{x^{3}}$
252	Find the Derivative - d/dx	4/( square root of x)	$\frac{4}{\sqrt{x}}$
253	Find the Derivative - d/dx	2/(x^4)	$\frac{2}{x^{4}}$
254	Find the Integral	sec(x)^2	$\sec^{2} (x)$
255	Find the Integral	1/(x^2)	$\frac{1}{x^{2}}$
256	Find the Derivative - d/dx	3x^3	$3 x^{3}$
257	Find the Derivative - d/dx	square root of x^2+9	$\sqrt{x^{2} + 9}$
258	Find the Derivative - d/dx	-1/x	$- \frac{1}{x}$
259	Find the Derivative - d/dx	4-x^2	$4 - x^{2}$
260	Find the Derivative - d/dx	e^4	$e^{4}$
261	Find the Derivative - d/dx	f(x)=x^3	$f (x) = x^{3}$
262	Evaluate the Integral	integral of e^( square root of x) with respect to x	$\int e^{\sqrt{x}} d x$
263	Evaluate the Integral	integral of 5x with respect to x	$\int 5 x d x$
264	Find the Derivative - d/dx	5/(x^2+5)	$\frac{5}{x^{2} + 5}$
265	Evaluate the Integral	integral of cos(theta)^2 with respect to theta	$\int \cos^{2} (θ) d θ$
266	Evaluate the Integral	integral of 3 with respect to x	$\int 3 d x$
267	Evaluate the Integral	integral of cube root of x with respect to x	$\int \sqrt[3]{x} d x$
268	Find the Derivative - d/dx	1/2x^2	$\frac{1}{2} x^{2}$
269	Find the Derivative - d/dx	3sin(x)	$3 \sin (x)$
270	Find the Derivative - d/dx	5x natural log of x	$5 x \ln (x)$
271	Find the Derivative - d/dx	1/(x^8)	$\frac{1}{x^{8}}$
272	Evaluate the Integral	integral from 0 to pi of sin(x) with respect to x	$\int_{0}^{π} \sin (x) d x$
273	Find the Integral	x^2	$x^{2}$
274	Find the Derivative - d/dx	4/(x^2)	$\frac{4}{x^{2}}$
275	Find the Derivative - d/dx	1/(x^7)	$\frac{1}{x^{7}}$
276	Find the Derivative - d/dx	fourth root of x	$\sqrt[4]{x}$
277	Find the Derivative - d/dx	2/(x^2)	$\frac{2}{x^{2}}$
278	Find the Derivative - d/dx	1/(2x)	$\frac{1}{2 x}$
279	Evaluate the Limit	limit as x approaches 0 of sec(x)	$lim_{x \to 0} \sec (x)$
280	Evaluate the Limit	limit as x approaches 0 of (tan(x))/x	$lim_{x \to 0} \frac{\tan (x)}{x}$
281	Find the Derivative - d/d@VAR	f(x)=x^4	$f (x) = x^{4}$
282	Find the Antiderivative	x^2	$x^{2}$
283	Evaluate the Integral	integral of x square root of 1-x^2 with respect to x	$\int x \sqrt{1 - x^{2}} d x$
284	Evaluate the Integral	integral of xe^(3x) with respect to x	$\int x e^{3 x} d x$
285	Evaluate the Integral	integral of x^4 natural log of x with respect to x	$\int x^{4} \ln (x) d x$
286	Find the Derivative - d/dx	x^7	$x^{7}$
287	Find the Derivative - d/dx	square root of x(x-10)	$\sqrt{x} (x - 10)$
288	Evaluate the Integral	integral of sin(t) square root of 1+cos(t) with respect to t	$\int \sin (t) \sqrt{1 + \cos (t)} d t$
289	Evaluate the Integral	integral of square root of 1-x^2 with respect to x	$\int \sqrt{1 - x^{2}} d x$
290	Evaluate the Limit	limit as x approaches 1 of ( square root of x-1)/(x-1)	$lim_{x \to 1} \frac{\sqrt{x} - 1}{x - 1}$
291	Evaluate the Limit	limit as x approaches 3 of (x^2-9)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 9}{x - 3}$
292	Find the Antiderivative	e^x	$e^{x}$
293	Find the Local Maxima and Minima	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
294	Graph	natural log of 3x	$\ln (3 x)$
295	Evaluate the Limit	limit as x approaches 3 of ( square root of x+1-2)/(x-3)	$lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}$
296	Evaluate the Limit	limit as x approaches pi/2 of tan(x)	$lim_{x \to \frac{π}{2}} \tan (x)$
297	Find the Derivative - d/dx	square root of 2x-x^2	$\sqrt{2 x - x^{2}}$
298	Find the Derivative - d/dx	3 natural log of x	$3 \ln (x)$
299	Find the Derivative - d/dx	2/3(x^2+1)^(3/2)	$\frac{2}{3} {(x^{2} + 1)}^{\frac{3}{2}}$
300	Find the Derivative - d/dx	( natural log of x)^3	$\ln^{3} (x)$