Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50101	Find the Derivative of the Integral	integral from -2 to 2x of (3t^2+2t) with respect to t	$\int_{- 2}^{2 x} (3 t^{2} + 2 t) d t$
50102	Find the Derivative of the Integral	y=(4x)/(3-tan(x))	$y = \frac{4 x}{3 - \tan (x)}$
50103	Find the Derivative of the Integral	integral from 1 to x of sin(t^2) with respect to t	$\int_{1}^{x} \sin (t^{2}) d t$
50104	Find the Derivative of the Integral	s=t^6tan(t)- square root of t	$s = t^{6} \tan (t) - \sqrt{t}$
50105	Find h(p(n))	h(n)=7-3n , p(n)=n^2-6	$h (n) = 7 - 3 n$ , $p (n) = n^{2} - 6$
50106	Find h(g(x))	g(x)=3x h(x)=x-4	$g (x) = 3 x$ $h (x) = x - 4$
50107	Find C(R(x))	R(x)=60x-0.5x^2 , C(x)=4x+15	$R (x) = 60 x - 0.5 x^{2}$ , $C (x) = 4 x + 15$
50108	Find g(h(x))	g(x)=3x h(x)=x-4	$g (x) = 3 x$ $h (x) = x - 4$
50109	Find R(C(x))	R(x)=60x-0.5x^2 , C(x)=4x+15	$R (x) = 60 x - 0.5 x^{2}$ , $C (x) = 4 x + 15$
50110	Find f(g(x))	f(x)=-4x-1 , g(x)=x^2-2	$f (x) = - 4 x - 1$ , $g (x) = x^{2} - 2$
50111	Complete the Square	x^2-2x+82	$x^{2} - 2 x + 82$
50112	Complete the Square	3-2x-x^2	$3 - 2 x - x^{2}$
50113	Complete the Square	x^2+8x+41	$x^{2} + 8 x + 41$
50114	Complete the Square	-x^2+12x-35	$- x^{2} + 12 x - 35$
50115	Find the Inflection Points	y=x^4-8x^2+16	$y = x^{4} - 8 x^{2} + 16$
50116	Find the Inflection Points	y=x^4-2x^3-12x^2+6	$y = x^{4} - 2 x^{3} - 12 x^{2} + 6$
50117	Find the Inflection Points	y=x^3-15x^2+33x+100	$y = x^{3} - 15 x^{2} + 33 x + 100$
50118	Find the Inflection Points	y=2x^3-x^2	$y = 2 x^{3} - x^{2}$
50119	Find the Inflection Points	y=(5x+30)^(2/3)	$y = {(5 x + 30)}^{\frac{2}{3}}$
50120	Find the Inflection Points	y=(2x)/(x^2-25)	$y = \frac{2 x}{x^{2} - 25}$
50121	Find the Inflection Points	y=x square root of 9-x	$y = x \sqrt{9 - x}$
50122	Find the Inflection Points	y=-3x^4+4x^3+72x^2	$y = - 3 x^{4} + 4 x^{3} + 72 x^{2}$
50123	Find the Inflection Points	y=4x- natural log of x	$y = 4 x - \ln (x)$
50124	Find the Value Using the Unit Circle	(11pi)/6	$\frac{11 π}{6}$
50125	Find the Value Using the Unit Circle	135 degrees	$135 °$
50126	Find the Value Using the Unit Circle	sec(pi/6)tan(pi/6)	$\sec (\frac{π}{6}) \tan (\frac{π}{6})$
50127	Evaluate the Summation	sum from k=1 to 6 of -3k+4	$\sum_{k = 1}^{6} - 3 k + 4$
50128	Evaluate the Summation	sum from m=1 to 4 of (2m)/8	$\sum_{m = 1}^{4} \frac{2 m}{8}$
50129	Evaluate the Summation	sum from i=1 to 1000 of (8i+9)/(1000^2)	$\sum_{i = 1}^{1000} \frac{8 i + 9}{1000^{2}}$
50130	Evaluate the Summation	1/7 sum from i=1 to 7 of a_i	$\frac{1}{7} \sum_{i = 1}^{7} a_{i}$
50131	Evaluate the Summation	sum from k=1 to 2 of (56k)/(k+6)	$\sum_{k = 1}^{2} \frac{56 k}{k + 6}$
50132	Evaluate the Summation	sum from i=2 to 5 of 4i	$\sum_{i = 2}^{5} 4 i$
50133	Evaluate the Summation	sum from k=1 to 30 of (2/15k+5)2/15	$\sum_{k = 1}^{30} (\frac{2}{15} k + 5) \frac{2}{15}$
50134	Evaluate the Summation	sum from i=1 to 13 of 4i-4	$\sum_{i = 1}^{13} 4 i - 4$
50135	Evaluate the Summation	square root of ( sum from i=1 to 35 of 0.04)/34	$\sqrt{\frac{\sum_{i = 1}^{35} 0.04}{34}}$
50136	Evaluate the Summation	sum from n=1 to 80 of 2n-7	$\sum_{n = 1}^{80} 2 n - 7$
50137	Evaluate the Summation	sum from i=1 to 16 of (i+1)/256	$\sum_{i = 1}^{16} \frac{i + 1}{256}$
50138	Evaluate the Summation	sum from k=4 to 7 of 2k-3	$\sum_{k = 4}^{7} 2 k - 3$
50139	Evaluate the Summation	sum from x=1 to infinity of (-3/4)^x	$\sum_{x = 1}^{\infty} {(- \frac{3}{4})}^{x}$
50140	Evaluate the Summation	sum from i=1 to 26 of 4i+7	$\sum_{i = 1}^{26} 4 i + 7$
50141	Evaluate the Summation	sum from 3 to 5 of (x_3+1)^2	$\sum_{3}^{5} {(x_{3 + 1})}^{2}$
50142	Evaluate the Summation	sum from k=4 to 7 of k(k-2)	$\sum_{k = 4}^{7} k (k - 2)$
50143	Evaluate the Summation	sum from t=1 to 16 of 6t-4	$\sum_{t = 1}^{16} 6 t - 4$
50144	Evaluate the Summation	sum from n=2 to 5 of nx+3	$\sum_{n = 2}^{5} n x + 3$
50145	Evaluate the Summation	sum from i=1 to 4 of 4i-1	$\sum_{i = 1}^{4} 4 i - 1$
50146	Evaluate the Summation	sum from i=1 to 8 of (i+1)/64	$\sum_{i = 1}^{8} \frac{i + 1}{64}$
50147	Evaluate the Summation	sum from n=0 to infinity of (3/4)^n	$\sum_{n = 0}^{\infty} {(\frac{3}{4})}^{n}$
50148	Evaluate the Summation	sum from i=1 to 4 of i+1	$\sum_{i = 1}^{4} i + 1$
50149	Evaluate the Summation	sum from k=0 to 9 of (-3/5)^k	$\sum_{k = 0}^{9} {(- \frac{3}{5})}^{k}$
50150	Evaluate the Summation	sum from n=51 to 100 of 7n	$\sum_{n = 51}^{100} 7 n$
50151	Evaluate the Summation	sum from n=1 to 100 of 2n-7	$\sum_{n = 1}^{100} 2 n - 7$
50152	Evaluate the Summation	sum from n=1 to infinity of -4(1/3)^n	$\sum_{n = 1}^{\infty} - 4 {(\frac{1}{3})}^{n}$
50153	Evaluate the Summation	sum from i=1 to 50 of (2i-1)(2i+1)	$\sum_{i = 1}^{50} (2 i - 1) (2 i + 1)$
50154	Evaluate the Summation	sum from i=2 to 8 of 2/i	$\sum_{i = 2}^{8} \frac{2}{i}$
50155	Evaluate the Summation	sum from k=0 to 4 of ((-1)^k)/(k!)	$\sum_{k = 0}^{4} \frac{{(- 1)}^{k}}{k!}$
50156	Evaluate the Summation	sum from 2 to 10 of 25(0.3)^(n+1)	$\sum_{2}^{10} 25 {(0.3)}^{n + 1}$
50157	Evaluate the Summation	sum from x=0 to infinity of (0.03)^x	$\sum_{x = 0}^{\infty} {(0.03)}^{x}$
50158	Evaluate the Summation	sum from i=1 to 125 of (i+1)/15625	$\sum_{i = 1}^{125} \frac{i + 1}{15625}$
50159	Evaluate the Summation	sum from n=0 to infinity of (-1/5)^n	$\sum_{n = 0}^{\infty} {(- \frac{1}{5})}^{n}$
50160	Evaluate the Summation	sum from k=1 to 16 of k^2	$\sum_{k = 1}^{16} k^{2}$
50161	Evaluate the Summation	sum from n=0 to 3 of (-2)^n(12)	$\sum_{n = 0}^{3} {(- 2)}^{n} (12)$
50162	Evaluate the Summation	sum from k=0 to 3 of 4k-9	$\sum_{k = 0}^{3} 4 k - 9$
50163	Evaluate the Summation	sum from i=1 to 24 of 8i	$\sum_{i = 1}^{24} 8 i$
50164	Evaluate the Summation	sum from 3 to 14 of 128(1/4)	$\sum_{3}^{14} 128 (\frac{1}{4})$
50165	Evaluate the Summation	sum from n=1 to 19 of 2n-1	$\sum_{n = 1}^{19} 2 n - 1$
50166	Evaluate the Summation	sum from i=1 to 10 of (2i+1)/(10^2)	$\sum_{i = 1}^{10} \frac{2 i + 1}{10^{2}}$
50167	Evaluate the Summation	sum from n=1 to 30 of 3n-4	$\sum_{n = 1}^{30} 3 n - 4$
50168	Evaluate the Summation	sum from 2 to 3 of 10.25^20.75^1	$\sum_{2}^{3} 1 \cdot {0.25}^{2} \cdot {0.75}^{1}$
50169	Evaluate the Summation	sum from i=1 to infinity of 0.8^i	$\sum_{i = 1}^{\infty} {(0.8)}^{i}$
50170	Evaluate the Summation	sum from k=0 to infinity of (1/3)^k	$\sum_{k = 0}^{\infty} {(\frac{1}{3})}^{k}$
50171	Evaluate the Summation	sum from i=1 to 32 of 3i-5	$\sum_{i = 1}^{32} 3 i - 5$
50172	Evaluate the Summation	sum from k=1 to 3 of (-1)^(k+3)sin(kpi)	$\sum_{k = 1}^{3} {(- 1)}^{k + 3} \sin (k π)$
50173	Evaluate the Summation	sum from n=1 to 60 of 3n-4	$\sum_{n = 1}^{60} 3 n - 4$
50174	Evaluate the Summation	sum from i=1 to 20 of 2i-3	$\sum_{i = 1}^{20} 2 i - 3$
50175	Evaluate the Summation	sum from i=1 to 10 of x_i/12	$\sum_{i = 1}^{10} \frac{x_{i}}{12}$
50176	Find the x and y Intercepts	f(x)=x^2-7x-18	$f (x) = x^{2} - 7 x - 18$
50177	Find the x and y Intercepts	f(x)=2x^2-4x-1	$f (x) = 2 x^{2} - 4 x - 1$
50178	Find the x and y Intercepts	f(x)=x^3+5x^2-16x-80	$f (x) = x^{3} + 5 x^{2} - 16 x - 80$
50179	Find the x and y Intercepts	f(x)=8x^2+16x-1	$f (x) = 8 x^{2} + 16 x - 1$
50180	Find the x and y Intercepts	f(x)=2x^2+4x-1	$f (x) = 2 x^{2} + 4 x - 1$
50181	Find the x and y Intercepts	f(x)=7cos(x)	$f (x) = 7 \cos (x)$
50182	Find the x and y Intercepts	f(x)=x^4-4x^2-3	$f (x) = x^{4} - 4 x^{2} - 3$
50183	Calculate the Square Root	225	$225$
50184	Find the Slope of the Tangent Line at x=2	f(x)=x^4-5x^2+4 ; x=2	$f (x) = x^{4} - 5 x^{2} + 4$ ; $x = 2$
50185	Find the Slope of the Tangent Line at x=-1	f(x)=x^4-20x^2+64 ; x=-1	$f (x) = x^{4} - 20 x^{2} + 64$ ; $x = - 1$
50186	Find the Slope of the Tangent Line at x=5	f(x)=2x-2^x , x=5	$f (x) = 2 x - 2^{x}$ , $x = 5$
50187	Find the Slope of the Tangent Line at x=-2	f(x)=x^4-17x^2+16 ; x=-2	$f (x) = x^{4} - 17 x^{2} + 16$ ; $x = - 2$
50188	Find the Integral	cube root of x^5	$\sqrt[3]{x^{5}}$
50189	Find the Integral	2cos(theta)	$2 \cos (θ)$
50190	Evaluate the Function	f(x)=( natural log of x)^4 at x=9	$\frac{e^{x}}{1 + e^{2 x}} d x$
50191	Find the Integral	integral of sec(x)(tan(x)-sec(x)) with respect to x	$\int \sec (x (\tan (x) - \sec (x))) d x$
50192	Find the Integral	(x+6)(3x-4)	$(x + 6) (3 x - 4)$
50193	Find the Integral	sec(x)(sec(x)+tan(x))	$\sec (x (\sec (x) + \tan (x)))$
50194	Find the Integral	(25-x^2)^(1/2)	${(25 - x^{2})}^{\frac{1}{2}}$
50195	Find the Integral	1/(x square root of 4x^2-1)	$\frac{1}{x \sqrt{4 x^{2} - 1}}$
50196	Find the Integral	integral of ( square root of x^2-25)/x with respect to x	$\int \frac{\sqrt{x^{2} - 25}}{x} d x$
50197	Find the Integral	(arcsin(x))/( square root of 1-x^2)	$\frac{\arcsin (x)}{\sqrt{1 - x^{2}}}$
50198	Find the Integral	integral of cos(xe^(sin(x))) with respect to x	$\int \cos (x e^{\sin (x)}) d x$
50199	Find the Integral	1/5sin(5x)	$\frac{1}{5} \sin (5 x)$
50200	Find the Integral	12+ square root of x	$12 + \sqrt{x}$