Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
27101	Evaluate the Integral	integral of cos(y) with respect to x	$\int \cos (y) d x$
27102	Evaluate the Integral	integral of cos(x)sin(sin(x)) with respect to x	$\int \cos (x) \sin (\sin (x)) d x$
27103	Evaluate the Integral	integral of cos(x) square root of sin(x) with respect to x	$\int \cos (x) \sqrt{\sin (x)} d x$
27104	Evaluate the Integral	integral of cos(x)*e^x with respect to x	$\int \cos (x) \cdot e^{x} d x$
27105	Evaluate the Integral	integral of cos(3x-1) with respect to x	$\int \cos (3 x - 1) d x$
27106	Evaluate the Integral	integral of cos(2x-3) with respect to x	$\int \cos (2 x - 3) d x$
27107	Evaluate the Integral	integral of cos(2x)sin(2x) with respect to x	$\int \cos (2 x) \sin (2 x) d x$
27108	Evaluate the Integral	integral of -cos(4x) with respect to x	$\int - \cos (4 x) d x$
27109	Evaluate the Integral	integral of cos(3y)-2x with respect to x integral of sin(2x)+2ydy with respect to x	$\int \cos (3 y) - 2 x d x \int \sin (2 x) + 2 yds y d x$
27110	Evaluate the Integral	integral of cos(kx) with respect to x	$\int \cos (k x) d x$
27111	Evaluate the Integral	integral of cos(3x-2) with respect to x	$\int \cos (3 x - 2) d x$
27112	Evaluate the Integral	integral of cos(5)x with respect to x	$\int \cos (5) x d x$
27113	Evaluate the Integral	integral of cos(5x-3) with respect to x	$\int \cos (5 x - 3) d x$
27114	Evaluate the Integral	integral of cos(5x+7) with respect to x	$\int \cos (5 x + 7) d x$
27115	Evaluate the Integral	integral of cos(6x+4) with respect to x	$\int \cos (6 x + 4) d x$
27116	Evaluate the Integral	integral from b to 2b of x^9 with respect to x	$\int_{b}^{2 b} x^{9} d x$
27117	Evaluate the Integral	integral of cos(1/x) with respect to x	$\int \cos (\frac{1}{x}) d x$
27118	Evaluate the Integral	integral of arctan(6t) with respect to t	$\int \arctan (6 t) d t$
27119	Evaluate the Integral	integral of arctan(3x) with respect to x	$\int \arctan (3 x) d x$
27120	Evaluate the Integral	integral of arctan(u) with respect to u	$\int \arctan (u) d u$
27121	Evaluate the Integral	integral of arctan(y) with respect to y	$\int \arctan (y) d y$
27122	Evaluate the Integral	integral of arcsec(c)(bx)tan(bx) with respect to x	$\int arcsec (c) (b x) \tan (b x) d x$
27123	Evaluate the Integral	integral of cos(10x) with respect to x	$\int \cos (10 x) d x$
27124	Evaluate the Integral	integral from b to 2b of x^5 with respect to x	$\int_{b}^{2 b} x^{5} d x$
27125	Evaluate the Integral	integral of 9x square root of -x^2+4 with respect to x	$\int 9 x \sqrt{- x^{2} + 4} d x$
27126	Evaluate the Integral	integral from a to 5a of x with respect to x	$\int_{a}^{5 a} x d x$
27127	Evaluate the Integral	integral of arcsin(2x) with respect to x	$\int \arcsin (2 x) d x$
27128	Evaluate the Integral	integral of arcsin(x^2) with respect to x	$\int \arcsin (x^{2}) d x$
27129	Solve for x	3x^2-8x-8=0	$3 x^{2} - 8 x - 8 = 0$
27130	Evaluate the Integral	integral of arctan(1/x) with respect to x	$\int \arctan (\frac{1}{x}) d x$
27131	Evaluate the Integral	integral of arccos(3x) with respect to x	$\int \arccos (3 x) d x$
27132	Evaluate the Integral	integral of natural log of x+ square root of 1+x^2 with respect to x	$\int \ln (x + \sqrt{1 + x^{2}}) d x$
27133	Evaluate the Integral	integral of natural log of xx^4 with respect to x	$\int \ln (x) x^{4} d x$
27134	Evaluate the Integral	integral of natural log of x square root of x with respect to x	$\int \ln (x) \sqrt{x} d x$
27135	Evaluate the Integral	integral of natural log of 5 with respect to x	$\int \ln (5) d x$
27136	Evaluate the Integral	integral of natural log of x+15 with respect to x	$\int \ln (x + 15) d x$
27137	Evaluate the Integral	integral of natural log of x+16 with respect to x	$\int \ln (x + 16) d x$
27138	Evaluate the Integral	integral of log of 2x with respect to x	$\int \log (2 x) d x$
27139	Evaluate the Integral	integral of natural log of sec(x) with respect to x	$\int \ln (\sec (x)) d x$
27140	Evaluate the Integral	integral of natural log of sec(x)+tan(x) with respect to x	$\int \ln (\sec (x) + \tan (x)) d x$
27141	Evaluate the Integral	integral of natural log of cos(x) with respect to x	$\int \ln (\cos (x)) d x$
27142	Evaluate the Integral	integral of natural log of 3x-2 with respect to x	$\int \ln (3 x - 2) d x$
27143	Find the Derivative - d/d@VAR	f(x)=(36x)/(x^2+36)	$f (x) = \frac{36 x}{x^{2} + 36}$
27144	Evaluate the Integral	integral of natural log of 5x+1 with respect to x	$\int \ln (5 x + 1) d x$
27145	Evaluate the Integral	integral of natural log of 2x+3 with respect to x	$\int \ln (2 x + 3) d x$
27146	Evaluate the Integral	integral of natural log of 2x-3 with respect to x	$\int \ln (2 x - 3) d x$
27147	Evaluate the Integral	integral of natural log of 2cos(x) with respect to x	$\int \ln (2 \cos (x)) d x$
27148	Evaluate the Integral	integral of natural log of 2t with respect to t	$\int \ln (2 t) d t$
27149	Evaluate the Integral	integral from natural log of 2 to 3 of 5e^x with respect to x	$\int_{\ln (2)}^{3} 5 e^{x} d x$
27150	Evaluate the Integral	integral from natural log of 2 to natural log of 3 of e^x with respect to x	$\int_{\ln (2)}^{\ln (3)} e^{x} d x$
27151	Evaluate the Integral	integral of natural log of e^(2x-1) with respect to x	$\int \ln (e^{2 x - 1}) d x$
27152	Evaluate the Integral	integral of natural log of t^2 with respect to t	$\int \ln (t^{2}) d t$
27153	Evaluate the Integral	integral of natural log of 1+2^x with respect to x	$\int \ln (1 + 2^{x}) d x$
27154	Evaluate the Integral	integral of natural log of x^4 with respect to x	$\int \ln (x^{4}) d x$
27155	Evaluate the Integral	integral of natural log of 10x with respect to x	$\int \ln (10 x) d x$
27156	Find the Derivative - d/d@VAR	f(x)=(x^2-4)/(x-2)	$f (x) = \frac{x^{2} - 4}{x - 2}$
27157	Evaluate the Integral	integral of natural log of 14x with respect to x	$\int \ln (14 x) d x$
27158	Evaluate the Integral	integral from e to e of 3/x-3/e with respect to x	$\int_{e}^{e} \frac{3}{x} - \frac{3}{e} d x$
27159	Evaluate the Integral	integral from negative infinity to infinity of 1/(1+x^2) with respect to xdx	$\int_{- \infty}^{\infty} \frac{1}{1 + x^{2}} d x d x$
27160	Evaluate the Integral	integral of natural log of e^(-x^2) with respect to x	$\int \ln (e^{- x^{2}}) d x$
27161	Evaluate the Integral	integral of csc(y) with respect to y	$\int \csc (y) d y$
27162	Evaluate the Integral	integral of csc(3x)cot(3x) with respect to x	$\int \csc (3 x) \cot (3 x) d x$
27163	Evaluate the Integral	integral of csc(x)*cot(x) with respect to x	$\int \csc (x) \cdot \cot (x) d x$
27164	Evaluate the Integral	integral of csc(v) with respect to v	$\int \csc (v) d v$
27165	Evaluate the Integral	integral of cot(1/6x) with respect to x	$\int \cot (\frac{1}{6} x) d x$
27166	Evaluate the Integral	integral of cot(11x) with respect to x	$\int \cot (11 x) d x$
27167	Evaluate the Integral	f(x) = integral of sin(x) with respect to x	$f (x) = \int \sin (x) d x$
27168	Evaluate the Integral	integral of ((1+3 square root of y)^2)/( square root of y) with respect to y	$\int \frac{{(1 + 3 \sqrt{y})}^{2}}{\sqrt{y}} d y$
27169	Evaluate the Integral	pi integral from 0 to pi/2 of 2^x with respect to x	$π \int_{0}^{\frac{π}{2}} 2^{x} d x$
27170	Evaluate the Integral	p integral from 0 to square root of 6 of (6-y^2)^2 with respect to y	$p \int_{0}^{\sqrt{6}} {(6 - y^{2})}^{2} d y$
27171	Evaluate the Integral	9800 integral from -5 to 0 of (-y)(2 square root of 25-y^2) with respect to y	$9800 \int_{- 5}^{0} (- y) (2 \sqrt{25 - y^{2}}) d y$
27172	Evaluate the Integral	9 integral of x^(-1/2) with respect to x	$9 \int x^{- \frac{1}{2}} d x$
27173	Evaluate the Integral	4 integral from -2 to -2 of square root of 4x^2+1 with respect to y	$4 \int_{- 2}^{- 2} \sqrt{4 x^{2} + 1} d y$
27174	Evaluate the Integral	Find integral of xsin(2x) with respect to x	$F i n d \int x \sin (2 x) d x$
27175	Evaluate the Integral	14 integral from 0 to 1 of x^3 square root of 1-x^2 with respect to x	$14 \int_{0}^{1} x^{3} \sqrt{1 - x^{2}} d x$
27176	Evaluate the Integral	2p integral from 0 to 1.67332005 of (y)(2.8y-y^3) with respect to y	$2 p \int_{0}^{1.67332\overline{0}} (y) (2.8 y - y^{3}) d y$
27177	Evaluate the Integral	2pk integral from 0 to 1 of (5x-x^2)x^3 with respect to x	$2 p k \int_{0}^{1} (5 x - x^{2}) x^{3} d x$
27178	Evaluate the Integral	2 integral from 0 to 4.1 of -0.2x^2(x-5) with respect to x	$2 \int_{0}^{4.1} - 0.2 x^{2} (x - 5) d x$
27179	Evaluate the Integral	integral of (t^(3/4))/600 with respect to x	$\int \frac{t^{\frac{3}{4}}}{600} d x$
27180	Evaluate the Integral	pi integral of cos(x) with respect to x	$π \int \cos (x) d x$
27181	Find the Derivative - d/d@VAR	f(x)=(10x-1)^(1/2)	$f (x) = {(10 x - 1)}^{\frac{1}{2}}$
27182	Find the Derivative - d/d@VAR	f(x)=(x+4)^(2/3)	$f (x) = {(x + 4)}^{\frac{2}{3}}$
27183	Evaluate the Integral	integral of csc(x)^2 natural log of cos(x)- square root of cos(2x) with respect to x	$\int \csc^{2} (x) \ln (\cos (x) - \sqrt{\cos (2 x)}) d x$
27184	Evaluate the Integral	integral of 8/(y^3-4y) with respect to y	$\int \frac{8}{y^{3} - 4 y} d y$
27185	Evaluate the Integral	integral of square root of x^4-2x^3+x^2 with respect to x	$\int \sqrt{x^{4} - 2 x^{3} + x^{2}} d x$
27186	Evaluate the Integral	integral of e^(4u)+6 with respect to u udu	$\int e^{4 u} + 6 d u$ udu
27187	Evaluate the Integral	integral of 18x+4 with respect to x	$\int 18 x + 4 d x$
27188	Find the Derivative - d/d@VAR	d(p)=(2p+190)/(3p+19)	$d (p) = \frac{2 p + 190}{3 p + 19}$
27189	Find the Derivative - d/d@VAR	f(x) = square root of 9-4x	$f (x) = \sqrt{9 - 4 x}$
27190	Evaluate the Integral	integral of seventh root of x+ eighth root of x with respect to x	$\int \sqrt[7]{x} + \sqrt[8]{x} d x$
27191	Evaluate the Integral	integral of 29-x with respect to x	$\int 29 - x d x$
27192	Evaluate the Integral	integral of (3t^4+2)t^3 with respect to t	$\int (3 t^{4} + 2) t^{3} d t$
27193	Evaluate the Integral	integral of (3x^2-1)cos(2x) with respect to x	$\int (3 x^{2} - 1) \cos (2 x) d x$
27194	Evaluate the Integral	integral of (4x^3-12x)(x^4-6x^2)^-3 with respect to x	$\int (4 x^{3} - 12 x) {(x^{4} - 6 x^{2})}^{- 3} d x$
27195	Evaluate the Integral	integral of 3x^2-5x+4 with respect to x	$\int 3 x^{2} - 5 x + 4 d x$
27196	Evaluate the Integral	integral of x^2-3x with respect to x	$\int x^{2} - 3 x d x$
27197	Evaluate the Integral	integral of (x^3+9)^7*(3x^2) with respect to x	$\int {(x^{3} + 9)}^{7} \cdot (3 x^{2}) d x$
27198	Evaluate the Integral	integral of (1+y^3)^2 with respect to x	$\int {(1 + y^{3})}^{2} d x$
27199	Evaluate the Integral	integral of (2x^3+3x)/((3x^4+9x^2)^5) with respect to x	$\int \frac{2 x^{3} + 3 x}{{(3 x^{4} + 9 x^{2})}^{5}} d x$
27200	Evaluate the Integral	integral of (24s+24)/((s^2+1)(s-1)^3) with respect to s	$\int \frac{24 s + 24}{(s^{2} + 1) {(s - 1)}^{3}} d s$