Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
301	Find the Integral	1/(x^3)	$\frac{1}{x^{3}}$
302	Find the Derivative - d/dx	(x^3-3x^2+4)/(x^2)	$\frac{x^{3} - 3 x^{2} + 4}{x^{2}}$
303	Find the Derivative - d/dx	f(x)=e^(2x)	$f (x) = e^{2 x}$
304	Find the Derivative - d/dx	7^x	$7^{x}$
305	Evaluate the Integral	integral of natural log of 2x+1 with respect to x	$\int \ln (2 x + 1) d x$
306	Find the Derivative - d/dx	y=12	$y = 12$
307	Find the Derivative - d/dx	4sin(x)	$4 \sin (x)$
308	Evaluate the Integral	integral of 4x with respect to x	$\int 4 x d x$
309	Evaluate the Integral	integral of (( square root of x+2)^2)/(5 square root of x) with respect to x	$\int \frac{{(\sqrt{x} + 2)}^{2}}{5 \sqrt{x}} d x$
310	Find the Derivative - d/dx	(x-1)^2	${(x - 1)}^{2}$
311	Find the Derivative - d/dx	2x^2-5x+3	$2 x^{2} - 5 x + 3$
312	Find the Derivative - d/dx	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
313	Find the Derivative - d/dx	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
314	Find the Derivative - d/dx	f(x)=3x^2	$f (x) = 3 x^{2}$
315	Find the Derivative - d/dx	x^3+x^2	$x^{3} + x^{2}$
316	Find the Derivative - d/dx	cos(4x)	$\cos (4 x)$
317	Find the Derivative - d/dx	y=xe^x	$y = x e^{x}$
318	Find the Derivative - d/dx	x^9e^x	$x^{9} e^{x}$
319	Find the Derivative - d/dx	square root of x^2+y^2	$\sqrt{x^{2} + y^{2}}$
320	Find the Derivative - d/dx	x^2+2	$x^{2} + 2$
321	Find the Derivative - d/dx	y=1/x	$y = \frac{1}{x}$
322	Find the Derivative - d/dx	2/(3x^2)	$\frac{2}{3 x^{2}}$
323	Find the Derivative - d/dx	x^2-x	$x^{2} - x$
324	Evaluate the Limit	limit as x approaches 0 of (sin(5x))/x	$lim_{x \to 0} \frac{\sin (5 x)}{x}$
325	Graph	( natural log of x)/x	$\frac{\ln (x)}{x}$
326	Evaluate	tan(-1/3)	$\tan (\frac{- 1}{3})$
327	Evaluate the Integral	integral of 0 with respect to x	$\int 0 d x$
328	Find the Derivative - d/dx	5x^3	$5 x^{3}$
329	Evaluate the Integral	integral from 0 to 1 of (x-4)/(x^2-5x+6) with respect to x	$\int_{0}^{1} \frac{x - 4}{x^{2} - 5 x + 6} d x$
330	Evaluate the Integral	integral of 3x^2 with respect to x	$\int 3 x^{2} d x$
331	Evaluate the Integral	integral of (2x-3)^2 with respect to x	$\int {(2 x - 3)}^{2} d x$
332	Evaluate the Integral	integral of 2xe^x with respect to x	$\int 2 x e^{x} d x$
333	Find the Derivative - d/dx	1/(x^6)	$\frac{1}{x^{6}}$
334	Find the Derivative - d/dx	sin(x)+cos(x)	$\sin (x) + \cos (x)$
335	Evaluate the Integral	integral of square root of 4-x^2 with respect to x	$\int \sqrt{4 - x^{2}} d x$
336	Evaluate the Integral	integral from 0 to 1 of (x-8)/(x^2-7x+10) with respect to x	$\int_{0}^{1} \frac{x - 8}{x^{2} - 7 x + 10} d x$
337	Evaluate the Integral	integral of e^xsin(x) with respect to x	$\int e^{x} \sin (x) d x$
338	Evaluate the Integral	integral from 1 to 2 of xsin(x^2) with respect to x	$\int_{1}^{2} x \sin (x^{2}) d x$
339	Evaluate the Integral	integral of xe^(-2x) with respect to x	$\int x e^{- 2 x} d x$
340	Evaluate the Integral	integral of 5 with respect to x	$\int 5 d x$
341	Find the 2nd Derivative	sin(x)	$\sin (x)$
342	Find the Antiderivative	x^3	$x^{3}$
343	Find the Derivative - d/dx	cube root of x^4	$\sqrt[3]{x^{4}}$
344	Find the Derivative - d/dx	(x+x^-1)^3	${(x + x^{- 1})}^{3}$
345	Find the Derivative - d/dx	(x^2)/9	$\frac{x^{2}}{9}$
346	Find the Derivative - d/dx	4/x	$\frac{4}{x}$
347	Find the Derivative - d/dx	e^0	$e^{0}$
348	Find the Integral	cos(x)^2	$\cos^{2} (x)$
349	Find the Derivative - d/dx	x^2-9	$x^{2} - 9$
350	Find the Derivative - d/dx	1/(x^10)	$\frac{1}{x^{10}}$
351	Evaluate the Integral	integral of sec(x) with respect to x	$\int \sec (x) d x$
352	Evaluate the Integral	integral from -10 to 10 of sin(xe^(x^2)) with respect to x	$\int_{- 10}^{10} \sin (x e^{x^{2}}) d x$
353	Evaluate the Integral	integral of x^2cos(x) with respect to x	$\int x^{2} \cos (x) d x$
354	Find dy/dx	y=sin(xy)	$y = \sin (x y)$
355	Evaluate the Integral	integral of tan(x)^3 with respect to x	$\int \tan^{3} (x) d x$
356	Evaluate the Integral	integral of (9-2017x^2*16+6 fifth root of x+12e^(4x)-5/x) with respect to x	$\int (9 - 2017 x^{2016} + 6 \sqrt[5]{x} + 12 e^{4 x} - \frac{5}{x}) d x$
357	Evaluate the Integral	integral of xe^(-x^2) with respect to x	$\int x e^{- x^{2}} d x$
358	Evaluate the Integral	integral of 1/(x^3) with respect to x	$\int \frac{1}{x^{3}} d x$
359	Find the Derivative - d/dx	x^4e^x	$x^{4} e^{x}$
360	Evaluate the Integral	integral of 1/(2x) with respect to x	$\int \frac{1}{2 x} d x$
361	Evaluate the Integral	integral of (e^(1/x))/(x^2) with respect to x	$\int \frac{e^{\frac{1}{x}}}{x^{2}} d x$
362	Find the Derivative - d/d@VAR	f(x)=2x^2	$f (x) = 2 x^{2}$
363	Find the Integral	tan(x)^2	$\tan^{2} (x)$
364	Find the Derivative - d/dx	natural log of x+1	$\ln (x + 1)$
365	Find the Derivative - d/dx	f(x)=sec(x)	$f (x) = \sec (x)$
366	Find the Derivative - d/dx	x^2+2x	$x^{2} + 2 x$
367	Find the Derivative - d/dx	y=x^3e^x	$y = x^{3} e^{x}$
368	Simplify	1/( cube root of x^8)	$\frac{1}{\sqrt[3]{x^{8}}}$
369	Find the Derivative - d/dx	1/(1+x^2)	$\frac{1}{1 + x^{2}}$
370	Find the Derivative - d/dx	x^6e^x	$x^{6} e^{x}$
371	Find the Derivative - d/dx	(x^2)/5	$\frac{x^{2}}{5}$
372	Find the Derivative - d/dx	x^2-4	$x^{2} - 4$
373	Find the Derivative - d/dx	2/(x^3)	$\frac{2}{x^{3}}$
374	Find the Derivative - d/dx	-e^x	$- e^{x}$
375	Find the Derivative - d/dx	4x-x^2	$4 x - x^{2}$
376	Find the Derivative - d/dx	6/x-2/(x^3)+1/(x^4)	$\frac{6}{x} - \frac{2}{x^{3}} + \frac{1}{x^{4}}$
377	Find the Derivative - d/dx	3x^2-x	$3 x^{2} - x$
378	Simplify	e^-8	$e^{- 8}$
379	Graph	natural log of natural log of x	$\ln (\ln (x))$
380	Evaluate the Limit	limit as x approaches 0 of cos(x)	$lim_{x \to 0} \cos (x)$
381	Evaluate the Limit	limit as x approaches 4 of ( square root of x-2)/(x-4)	$lim_{x \to 4} \frac{\sqrt{x} - 2}{x - 4}$
382	Find the Derivative - d/dx	(x^2)/7	$\frac{x^{2}}{7}$
383	Evaluate the Integral	integral from 0 to 27 of square root of 3x with respect to x	$\int_{0}^{27} \sqrt{3 x} d x$
384	Evaluate the Integral	integral of x square root of x with respect to x	$\int x \sqrt{x} d x$
385	Evaluate the Integral	integral of cos(x)^3 with respect to x	$\int \cos^{3} (x) d x$
386	Evaluate the Integral	integral of x^(1/2) with respect to x	$\int x^{\frac{1}{2}} d x$
387	Evaluate the Integral	integral of x/(x^2+1) with respect to x	$\int \frac{x}{x^{2} + 1} d x$
388	Evaluate the Integral	integral of arctan(x) with respect to x	$\int \arctan (x) d x$
389	Evaluate the Integral	integral of 2x^2 with respect to x	$\int 2 x^{2} d x$
390	Evaluate the Integral	integral from 0 to pi/2 of cos(x) with respect to x	$\int_{0}^{\frac{π}{2}} \cos (x) d x$
391	Evaluate the Integral	integral of x^2sin(x) with respect to x	$\int x^{2} \sin (x) d x$
392	Evaluate the Integral	integral of sin(theta)^2 with respect to theta	$\int \sin^{2} (θ) d θ$
393	Evaluate the Integral	integral from 4 to 9 of ( natural log of y)/( square root of y) with respect to y	$\int_{4}^{9} \frac{\ln (y)}{\sqrt{y}} d y$
394	Evaluate the Integral	integral of (9x+4)^2 with respect to x	$\int {(9 x + 4)}^{2} d x$
395	Find the Derivative - d/dx	x^( natural log of x)	$x^{\ln (x)}$
396	Find the Derivative - d/dx	1/2x^2 square root of 16-x^2	$\frac{1}{2} x^{2} \sqrt{16 - x^{2}}$
397	Find the Area Between the Curves	y=x , y=3 square root of x	$y = x$ , $y = 3 \sqrt{x}$
398	Find the Local Maxima and Minima	f(x)=3x^2-12x-8	$f (x) = 3 x^{2} - 12 x - 8$
399	Simplify	sin(arctan(x))	$\sin (\arctan (x))$
400	Find the Derivative - d/dx	-(x^2)/(y^2)	$- \frac{x^{2}}{y^{2}}$