Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63401	Find the Area Between the Curves	y=x^2-33 , y=7-3x	$y = x^{2} - 33$ , $y = 7 - 3 x$
63402	Find the Area Between the Curves	y=-x^2-3x , -4<=x<=1	$y = - x^{2} - 3 x$ , $- 4 \leq x \leq 1$
63403	Solve the Function Operation	f(x)=3x^2 , g(x)=x+1 , fog	$f (x) = 3 x^{2}$ , $g (x) = x + 1$ , fog
63404	Find the Area Between the Curves	5x+y^2=11 , x=2y	$5 x + y^{2} = 11$ , $x = 2 y$
63405	Find the Area Between the Curves	x=4y^2 , x=0 , y=2	$x = 4 y^{2}$ , $x = 0$ , $y = 2$
63406	Find the Area Between the Curves	x=-5 , x=2 , y=7x , y=x^2-8	$x = - 5$ , $x = 2$ , $y = 7 x$ , $y = x^{2} - 8$
63407	Find the Area Between the Curves	x=-5 , x=3 , y=2x^2+9 , y=0	$x = - 5$ , $x = 3$ , $y = 2 x^{2} + 9$ , $y = 0$
63408	Find the Area Between the Curves	x=63-7y^2 , x=7y^2-63	$x = 63 - 7 y^{2}$ , $x = 7 y^{2} - 63$
63409	Find the Area Between the Curves	x=9y^2 , x=2+7y^2	$x = 9 y^{2}$ , $x = 2 + 7 y^{2}$
63410	Find the Area Between the Curves	x=y^2 , x=14y-y^2	$x = y^{2}$ , $x = 14 y - y^{2}$
63411	Find the Area Between the Curves	y=4x , y=x^2	$y = 4 x$ , $y = x^{2}$
63412	Find the Area Between the Curves	y=4x^2 , y = square root of 2x	$y = 4 x^{2}$ , $y = \sqrt{2 x}$
63413	Find the Area Between the Curves	y=4-x^2 , y=x^2-4	$y = 4 - x^{2}$ , $y = x^{2} - 4$
63414	Find the Area Between the Curves	y=49-x^2	$y = 49 - x^{2}$
63415	Find the Area Between the Curves	y=3x-x^2 , y=-4x	$y = 3 x - x^{2}$ , $y = - 4 x$
63416	Find the Area Between the Curves	y=5^x , y=0 , x=0 , x=4	$y = 5^{x}$ , $y = 0$ , $x = 0$ , $x = 4$
63417	Find the Area Between the Curves	y=-4x-7 ; y=0 ; -1<=x<=2	$y = - 4 x - 7$ ; $y = 0$ ; $- 1 \leq x \leq 2$
63418	Find the Area Between the Curves	y=5x-x^2 , y=2x	$y = 5 x - x^{2}$ , $y = 2 x$
63419	Find the Area Between the Curves	y=5x-x^2 , y=-5x	$y = 5 x - x^{2}$ , $y = - 5 x$
63420	Find the Area Between the Curves	y=-6x-7 ; y=0 ; -1<=x<=2	$y = - 6 x - 7$ ; $y = 0$ ; $- 1 \leq x \leq 2$
63421	Find the Area Between the Curves	y=7x-x^2 , y=3x	$y = 7 x - x^{2}$ , $y = 3 x$
63422	Find the Area Between the Curves	y=81x , y=x^5	$y = 81 x$ , $y = x^{5}$
63423	Find the Area Between the Curves	y=8x^2 , y=8 square root of x	$y = 8 x^{2}$ , $y = 8 \sqrt{x}$
63424	Find the Area Between the Curves	y=8x , y=x^2	$y = 8 x$ , $y = x^{2}$
63425	Find the Area Between the Curves	y=9-x^2 , y=0 , x=-1 , x=2	$y = 9 - x^{2}$ , $y = 0$ , $x = - 1$ , $x = 2$
63426	Find the Area Between the Curves	y=9x , y=x^2-10	$y = 9 x$ , $y = x^{2} - 10$
63427	Find the Area Between the Curves	y=sin(x) , y=x , x=pi/2 , x=pi	$y = \sin (x)$ , $y = x$ , $x = \frac{π}{2}$ , $x = π$
63428	Find the Area Between the Curves	y=e^x , y=xe^(x^2) , (1,e)	$y = e^{x}$ , $y = x e^{x^{2}}$ , $(1, e)$
63429	Find the Area Between the Curves	y=3/x , y=12x , y=1/12x , x>0	$y = \frac{3}{x}$ , $y = 12 x$ , $y = \frac{1}{12} x$ , $x > 0$
63430	Find the Area Between the Curves	x=y^2-2y , x=y-y^2	$x = y^{2} - 2 y$ , $x = y - y^{2}$
63431	Find the Area Between the Curves	x=y^2-6y , x=5y-y^2	$x = y^{2} - 6 y$ , $x = 5 y - y^{2}$
63432	Find the Area Between the Curves	y^2=4x , y=2x-4	$y^{2} = 4 x$ , $y = 2 x - 4$
63433	Find the Area Between the Curves	x-y^3=0 , x-y=0	$x - y^{3} = 0$ , $x - y = 0$
63434	Find the Area Between the Curves	y=16-x^2	$y = 16 - x^{2}$
63435	Find the Area Between the Curves	y=16x^2 , y = square root of 4x	$y = 16 x^{2}$ , $y = \sqrt{4 x}$
63436	Find the Area Between the Curves	y=12x , y=x^2	$y = 12 x$ , $y = x^{2}$
63437	Find the Area Between the Curves	y = square root of x , y=1/3x , x=16	$y = \sqrt{x}$ , $y = \frac{1}{3} x$ , $x = 16$
63438	Find the Area Between the Curves	y=25-x^2	$y = 25 - x^{2}$
63439	Find the Area Between the Curves	y=2-x , y=x^3 , y=x^2-2x	$y = 2 - x$ , $y = x^{3}$ , $y = x^{2} - 2 x$
63440	Find the Area Between the Curves	y=18x , y=x^2	$y = 18 x$ , $y = x^{2}$
63441	Find the Area Between the Curves	y=2x^2-5x+9 ; y=x^2+7x-11	$y = 2 x^{2} - 5 x + 9$ ; $y = x^{2} + 7 x - 11$
63442	Find the Area Between the Curves	y=3x , y=3 square root of x	$y = 3 x$ , $y = 3 \sqrt{x}$
63443	Find the Vertex	y=-x^2+8x-15	$y = - x^{2} + 8 x - 15$
63444	Find the Critical Points	y=x^3-12x+4	$y = x^{3} - 12 x + 4$
63445	Find the Critical Points	y=x^2-10x	$y = x^{2} - 10 x$
63446	Find the Critical Points	y=4x square root of 36-x^2	$y = 4 x \sqrt{36 - x^{2}}$
63447	Find the Critical Points	y=4x^3-3x	$y = 4 x^{3} - 3 x$
63448	Find the Critical Points	y=5x square root of 36-x^2	$y = 5 x \sqrt{36 - x^{2}}$
63449	Find the Critical Points	y=(x^2-9)/(x-5)	$y = \frac{x^{2} - 9}{x - 5}$
63450	Find the Critical Points	y=2x square root of 100-x^2	$y = 2 x \sqrt{100 - x^{2}}$
63451	Find the Critical Points	y=2x square root of 16-x^2	$y = 2 x \sqrt{16 - x^{2}}$
63452	Find the Critical Points	y=x^3-5x^2-8x+2	$y = x^{3} - 5 x^{2} - 8 x + 2$
63453	Find the Vertex	x^2-2x+y-2=0	$x^{2} - 2 x + y - 2 = 0$
63454	Find the Vertex	y=(x+4)^2-3	$y = {(x + 4)}^{2} - 3$
63455	Find the Vertex	y=1/5x^2-12/5x+1/5	$y = \frac{1}{5} x^{2} - \frac{12}{5} x + \frac{1}{5}$
63456	Find the Vertex	y=-2x^2-16x-30	$y = - 2 x^{2} - 16 x - 30$
63457	Find the Slope	y=1.8x	$y = 1.8 x$
63458	Identify the Sequence	1 , 9 , 17 , 25	$1$ , $9$ , $17$ , $25$
63459	Identify the Sequence	2 , 4 , 6 , 8 , 10 , 12	$2$ , $4$ , $6$ , $8$ , $10$ , $12$
63460	Identify the Sequence	3 , -6 , 9 , -12	$3$ , $- 6$ , $9$ , $- 12$
63461	Identify the Sequence	6 , -30 , 150 , -750	$6$ , $- 30$ , $150$ , $- 750$
63462	Find the Derivative of the Integral	integral from 0 to 7 of f(x) with respect to x	$\int_{0}^{7} f (x) d x$
63463	Find the Derivative of the Integral	integral from 0 to 3 of x^3 with respect to x	$\int_{0}^{3} x^{3} d x$
63464	Find the Derivative of the Integral	integral from 4 to 7 of f(x) with respect to x+ integral from 2 to 4 of f(x) with respect to x	$\int_{4}^{7} f (x) d x + \int_{2}^{4} f (x) d x$
63465	Find the Derivative of the Integral	integral from 2 to x^3 of 1/(p^2) with respect to p	$\int_{2}^{x^{3}} \frac{1}{p^{2}} d p$
63466	Find the Derivative of the Integral	integral from 2 to x of (10t+2) with respect to t	$\int_{2}^{x} (10 t + 2) d t$
63467	Find the Derivative of the Integral	integral from 1 to 5 of f(x) with respect to x	$\int_{1}^{5} f (x) d x$
63468	Find the Derivative of the Integral	integral from 1 to x^2 of 3 square root of 1+t^3 with respect to t	$\int_{1}^{x^{2}} 3 \sqrt{1 + t^{3}} d t$
63469	Identify the Sequence	8 , 4 , 2 , 1	$8$ , $4$ , $2$ , $1$
63470	Find the Derivative of the Integral	d/(dx)( integral of x^11 with respect to x)	$\frac{d}{d x} (\int x^{11} d x)$
63471	Identify the Sequence	8 , 16 , 24 , ...	$8$ , $16$ , $24$ , $\dots$
63472	Find the Derivative of the Integral	integral of 1/(x square root of 4x^2-1) with respect to x	$\int \frac{1}{x \sqrt{4 x^{2} - 1}} d x$
63473	Find the Derivative of the Integral	integral from sin(x) to 1 of square root of 1+t^2 with respect to t	$\int_{\sin (x)}^{1} \sqrt{1 + t^{2}} d t$
63474	Find the Derivative of the Integral	integral of 2x^2 with respect to x	$\int 2 x^{2} d x$
63475	Write as a Single Logarithm	2 natural log of 7- natural log of x- natural log of 2	$2 \ln (7) - \ln (x) - \ln (2)$
63476	Write as a Single Logarithm	natural log of x-7- natural log of x+56	$\ln (x - 7) - \ln (x + 56)$
63477	Write as a Single Logarithm	natural log of x-2 natural log of x^2+1	$\ln (x) - 2 \ln (x^{2} + 1)$
63478	Find the Derivative of the Integral	y = integral from 0 to arcsin(x) of cos(t) with respect to t	$y = \int_{0}^{\arcsin (x)} \cos (t) d t$
63479	Find the Derivative of the Integral	y=3- integral from -1 to x of e^(-t^3) with respect to t	$y = 3 - \int_{- 1}^{x} e^{- t^{3}} d t$
63480	Find the Derivative of the Integral	y = integral from 0 to cos(x) of 1/( square root of 1-t^2) with respect to t	$y = \int_{0}^{\cos (x)} \frac{1}{\sqrt{1 - t^{2}}} d t$
63481	Find the Derivative of the Integral	G(x) = integral from x to 4 of cos( square root of 5t) with respect to t	$G (x) = \int_{x}^{4} \cos (\sqrt{5 t}) d t$
63482	Find the Derivative of the Integral	f(x) = integral from 0 to x^2 of 7t with respect to t	$f (x) = \int_{0}^{x^{2}} 7 t d t$
63483	Find the Derivative of the Integral	F(x) = integral from 0 to xcos(x) of square root of 49-t^2 with respect to x	$F (x) = \int_{0}^{x \cos (x)} \sqrt{49 - t^{2}} d x$
63484	Find the Derivative of the Integral	F(x) = integral from 0 to x of (t+2) with respect to t	$F (x) = \int_{0}^{x} (t + 2) d t$
63485	Find the Derivative of the Integral	f(x) = integral from 0 to x of 7tcos(t) with respect to t	$f (x) = \int_{0}^{x} 7 t \cos (t) d t$
63486	Find the Derivative of the Integral	F(x) = integral from 2 to 1/x of arctan(t) with respect to t	$F (x) = \int_{2}^{\frac{1}{x}} \arctan (t) d t$
63487	Find the Derivative of the Integral	integral from x to 2 of cos( square root of 7t) with respect to t	$\int_{x}^{2} \cos (\sqrt{7 t}) d t$
63488	Find the Derivative of the Integral	integral from x to 2x of 12t^2-6t with respect to t	$\int_{x}^{2 x} 12 t^{2} - 6 t d t$
63489	Find the Derivative of the Integral	integral from a to b of 4e^(3t) with respect to t	$\int_{a}^{b} 4 e^{3 t} d t$
63490	Find the Concavity	f(x)=x/(1-x^2)	$f (x) = \frac{x}{1 - x^{2}}$
63491	Find the Concavity	f(x)=x/(4-x^2)	$f (x) = \frac{x}{4 - x^{2}}$
63492	Find the Concavity	f(t)=t+cos(t)	$f (t) = t + \cos (t)$
63493	Find the Concavity	f(x)=1/2x^4-4x^2+2	$f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 2$
63494	Find the Concavity	f(x)=1/2x^4-4x^2+6	$f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 6$
63495	Write as a Single Logarithm	natural log of 3+1/3 natural log of 64	$\ln (3) + \frac{1}{3} \ln (64)$
63496	Find the Concavity	f(x)=1/4x^4-2x^2	$f (x) = \frac{1}{4} x^{4} - 2 x^{2}$
63497	Find the Concavity	f(x)=(x^2+3x-40)/(x^2)	$f (x) = \frac{x^{2} + 3 x - 40}{x^{2}}$
63498	Find the Concavity	f(x)=(x-2)(x^2-4x-8)	$f (x) = (x - 2) (x^{2} - 4 x - 8)$
63499	Find the Concavity	f(x)=10x^4-60x^2	$f (x) = 10 x^{4} - 60 x^{2}$
63500	Find the Concavity	f(x)=2x^3-24x-8	$f (x) = 2 x^{3} - 24 x - 8$