Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59201	Find the Antiderivative	4x-4 square root of x	$4 x - 4 \sqrt{x}$
59202	Find the Antiderivative	36e^(-4x)+24e^(-2x)+4	$36 e^{- 4 x} + 24 e^{- 2 x} + 4$
59203	Find the Antiderivative	2.4x	$2.4 x$
59204	Find the Antiderivative	cot(theta)	$\cot (θ)$
59205	Find the Antiderivative	5/7x^(-1/7)	$\frac{5}{7} x^{- \frac{1}{7}}$
59206	Find the Antiderivative	integral of 1/(sin(x)cos(x)) with respect to x	$\int \frac{1}{\sin (x) \cos (x)} d x$
59207	Find the Antiderivative	2cos(x)-2	$2 \cos (x) - 2$
59208	Find the Antiderivative	4cos(pi/4x)	$4 \cos (\frac{π}{4} x)$
59209	Find the Antiderivative	(x^4)/5	$\frac{x^{4}}{5}$
59210	Find the Antiderivative	0.5^x	${0.5}^{x}$
59211	Find the Antiderivative	e^(-t^6)	$e^{- t^{6}}$
59212	Find the Antiderivative	9x^-5	$9 x^{- 5}$
59213	Find the Antiderivative	1/(a-bx)	$\frac{1}{a - b x}$
59214	Find the Antiderivative	integral of e^(2x)sin(3x) with respect to x	$\int e^{2 x} \sin (3 x) d x$
59215	Find the Antiderivative	sin(x)-sin(2x)	$\sin (x) - \sin (2 x)$
59216	Find the Antiderivative	cot(theta)^2	$\cot^{2} (θ)$
59217	Find the Antiderivative	-10sin(x)	$- 10 \sin (x)$
59218	Find the Antiderivative	(2t)/(t^2-1)	$\frac{2 t}{t^{2} - 1}$
59219	Find the Antiderivative	(x^2)/4-4x+16	$\frac{x^{2}}{4} - 4 x + 16$
59220	Find the Antiderivative	(1-sin(x^2))/(sin(x^2))	$\frac{1 - \sin (x^{2})}{\sin (x^{2})}$
59221	Find the Antiderivative	(sin(theta))/(cos(theta)^2)	$\frac{\sin (θ)}{\cos^{2} (θ)}$
59222	Find the Antiderivative	sec(x/2)	$\sec (\frac{x}{2})$
59223	Find the Antiderivative	(3x-12)/(x^2-3x)	$\frac{(3 x - 12)}{x^{2} - 3 x}$
59224	Find the Antiderivative	integral of 4(cos(x))/(sin(x)^2) with respect to x	$\int 4 \frac{\cos (x)}{\sin^{2} (x)} d x$
59225	Find the Antiderivative	(cos(t))e^(sin(t))	$(\cos (t)) e^{\sin (t)}$
59226	Find the Antiderivative	(arctan(x))/(1+x^2)	$\frac{\arctan (x)}{1 + x^{2}}$
59227	Find the Antiderivative	1/( fifth root of x^4)	$\frac{1}{\sqrt[5]{x^{4}}}$
59228	Find the Antiderivative	x^5-x	$x^{5} - x$
59229	Find the Antiderivative	x^3 square root of x^4+9	$x^{3} \sqrt{x^{4} + 9}$
59230	Find the Antiderivative	6y-y^2	$6 y - y^{2}$
59231	Find the Antiderivative	2^s	$2^{s}$
59232	Find the Antiderivative	integral of sin(x square root of cos(x)) with respect to x	$\int \sin (x \sqrt{\cos (x)}) d x$
59233	Find the Antiderivative	x^2+4x+1	$x^{2} + 4 x + 1$
59234	Find the Antiderivative	x^3-5x^2+6x	$x^{3} - 5 x^{2} + 6 x$
59235	Find the Antiderivative	-e^(-3x)	$- e^{- 3 x}$
59236	Find the Antiderivative	3e^(-x/2)	$3 e^{- \frac{x}{2}}$
59237	Find the Antiderivative	9/( square root of x)+9 square root of x	$\frac{9}{\sqrt{x}} + 9 \sqrt{x}$
59238	Find the Antiderivative	x^3sin(x)	$x^{3} \sin (x)$
59239	Find the Antiderivative	1/(x^1.0001)	$\frac{1}{x^{1.0001}}$
59240	Find the Antiderivative	-2sin(2t+7)	$- 2 \sin (2 t + 7)$
59241	Find the Antiderivative	square root of 4y	$\sqrt{4 y}$
59242	Find the Antiderivative	1/(3x^2)dx	$\frac{1}{3 x^{2}} d x$
59243	Find the Antiderivative	20x^3-4x	$20 x^{3} - 4 x$
59244	Find the Antiderivative	3x square root of 5	$3 x \sqrt{5}$
59245	Find the Antiderivative	0.5x^2	$0.5 x^{2}$
59246	Find the Antiderivative	-18x-9	$- 18 x - 9$
59247	Find the Antiderivative	square root of X	$\sqrt{X}$
59248	Find the Antiderivative	1/(x^2)	$\frac{1}{x^{2}}$
59249	Find the Antiderivative	X^3	$X^{3}$
59250	Use the Limit Definition to Find the Derivative	f(x)=6x+2	$f (x) = 6 x + 2$
59251	Find Where the Mean Value Theorem is Satisfied	f(x)=x^2+2x-3 , [0,6]	$f (x) = x^{2} + 2 x - 3$ , $[0, 6]$
59252	Check if Continuous Over an Interval	f(x)=4x-2 , (1,3)	$f (x) = 4 x - 2$ , $(1, 3)$
59253	Find the Second Derivative	1/x	$\frac{1}{x}$
59254	Find the Second Derivative	x^2-5x+6	$x^{2} - 5 x + 6$
59255	Check if Continuous Over an Interval	f(x)=1/x , [1,6]	$f (x) = \frac{1}{x}$ , $[1, 6]$
59256	Find the Second Derivative	3x^3	$3 x^{3}$
59257	Find the Second Derivative	15x^3	$15 x^{3}$
59258	Divide	27/3	$\frac{27}{3}$
59259	Find the Inflection Points	f(x)=5x^4-10x^2	$f (x) = 5 x^{4} - 10 x^{2}$
59260	Evaluate the Summation	sum from i=2 to 5 of 3i+1	$\sum_{i = 2}^{5} 3 i + 1$
59261	Find the Derivative Using Product Rule - d/dx	x^2e^x	$x^{2} e^{x}$
59262	Split Using Partial Fraction Decomposition	-3/((x-3)(x-2))	$\frac{- 3}{(x - 3) (x - 2)}$
59263	Split Using Partial Fraction Decomposition	(4-y)/((y+4)(y+2))	$\frac{4 - y}{(y + 4) (y + 2)}$
59264	Evaluate Using L'Hospital's Rule	limit as x approaches 3 of (x^3-4x-15)/(x^3+x^2-6x-18)	$lim_{x \to 3} \frac{x^{3} - 4 x - 15}{x^{3} + x^{2} - 6 x - 18}$
59265	Multiply	square root of x*x	$\sqrt{x} \cdot x$
59266	Find the Inflection Points	f(x)=x^5-4	$f (x) = x^{5} - 4$
59267	Find the Antiderivative	f(x)=1/x	$f (x) = \frac{1}{x}$
59268	Check if Differentiable Over an Interval	f(x)=4x-2 , (1,3)	$f (x) = 4 x - 2$ , $(1, 3)$
59269	Find the Second Derivative	f(x)=x^3	$f (x) = x^{3}$
59270	Find the Inflection Points	f(x)=x^4+2x^3-8x+1	$f (x) = x^{4} + 2 x^{3} - 8 x + 1$
59271	Find the Volume	y=x^2 , y=x	$y = x^{2}$ , $y = x$
59272	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4+2x^2-8x	$f (x) = x^{4} + 2 x^{2} - 8 x$
59273	Find the Volume	y=x^2-2x , y=x	$y = x^{2} - 2 x$ , $y = x$
59274	Find the Second Derivative	x^2+y^2=25	$x^{2} + y^{2} = 25$
59275	Find the Antiderivative	f(x)=e^x	$f (x) = e^{x}$
59276	Check if Differentiable Over an Interval	f(x)=1/x , [-6,6]	$f (x) = \frac{1}{x}$ , $[- 6, 6]$
59277	Find the Area Under the Curve	y=64-x^2 ; [-8,8]	$y = 64 - x^{2}$ ; $[- 8, 8]$
59278	Solve Using the Quadratic Formula	12x^2-64x+60=0	$12 x^{2} - 64 x + 60 = 0$
59279	Determine if the Point is on the Graph	f(x)=3x^2-3 , (0,4)	$f (x) = 3 x^{2} - 3$ , $(0, 4)$
59280	Find the Second Derivative	f(x)=e^x	$f (x) = e^{x}$
59281	Find the Second Derivative	f(x)=xe^x	$f (x) = x e^{x}$
59282	Find the Area Under the Curve	y=e^(2x) ; [0,4]	$y = e^{2 x}$ ; $[0, 4]$
59283	Find the Antiderivative	f(x)=2x	$f (x) = 2 x$
59284	Find the Area Under the Curve	y=4-x^2 ; [-2,2]	$y = 4 - x^{2}$ ; $[- 2, 2]$
59285	Find the Area Under the Curve	y=9-x^2 ; [-3,3]	$y = 9 - x^{2}$ ; $[- 3, 3]$
59286	Find the Area Under the Curve	y=e^x ; [0,5]	$y = e^{x}$ ; $[0, 5]$
59287	Find the x and y Intercepts	-0.00028x^3-0.0015x^2+0.0614x+0.2015	$- 0.00028 x^{3} - 0.0015 x^{2} + 0.0614 x + 0.2015$
59288	Find Where dy/dx is Equal to Zero	y=x^2+5x-7	$y = x^{2} + 5 x - 7$
59289	Find the Antiderivative	f(x)=1+3 square root of x	$f (x) = 1 + 3 \sqrt{x}$
59290	Find the Arc Length	f(x)=4x-2 , (-2,4)	$f (x) = 4 x - 2$ , $(- 2, 4)$
59291	Find the Inflection Points	f(x)=2x^3-9x^2-24x-10	$f (x) = 2 x^{3} - 9 x^{2} - 24 x - 10$
59292	Find the Antiderivative	f(x)=5x^4-8x^5	$f (x) = 5 x^{4} - 8 x^{5}$
59293	Find the Arc Length	f(x)=4x-2 , (1,3)	$f (x) = 4 x - 2$ , $(1, 3)$
59294	Find the Derivative of the Integral	f(x) = integral from x to x^2 of e^(t^2) with respect to t	$f (x) = \int_{x}^{x^{2}} e^{t^{2}} d t$
59295	Find the Critical Points	f(x)=2x^3-7x^2-40x+5	$f (x) = 2 x^{3} - 7 x^{2} - 40 x + 5$
59296	Find the Local Maxima and Minima	f(x)=x^3-5/2x^2+4x-2	$f (x) = x^{3} - \frac{5}{2} x^{2} + 4 x - 2$
59297	Find the Critical Points	f(x)=(x^2)/(x^2-9)	$f (x) = \frac{x^{2}}{x^{2} - 9}$
59298	Find the Antiderivative	f(t)=3t^2-8t+pi	$f (t) = 3 t^{2} - 8 t + π$
59299	Find the Inverse	f(x) = square root of 3x	$f (x) = \sqrt{3 x}$
59300	Find the Area Under the Curve	f(x)=8x-16 ; [1,5]	$f (x) = 8 x - 16$ ; $[1, 5]$