Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
801	Evaluate the Integral	integral of e^(sin(x))cos(x) with respect to x	$\int e^{\sin (x)} \cos (x) d x$
802	Evaluate the Integral	integral of te^(-2t) with respect to t	$\int t e^{- 2 t} d t$
803	Evaluate the Integral	integral of ( natural log of x)/( square root of x) with respect to x	$\int \frac{\ln (x)}{\sqrt{x}} d x$
804	Evaluate the Integral	integral of 2sin(x) with respect to x	$\int 2 \sin (x) d x$
805	Evaluate the Integral	integral of square root of 2x with respect to x	$\int \sqrt{2 x} d x$
806	Evaluate the Integral	integral of xe^(-3x) with respect to x	$\int x e^{- 3 x} d x$
807	Evaluate the Integral	integral from -2 to 3 of (x^2-3) with respect to x	$\int_{- 2}^{3} (x^{2} - 3) d x$
808	Evaluate the Integral	integral of 3^x with respect to x	$\int 3^{x} d x$
809	Evaluate the Integral	integral of ((6x^2-2x-7)/( square root of x)) with respect to x	$\int (\frac{6 x^{2} - 2 x - 7}{\sqrt{x}}) d x$
810	Evaluate the Integral	integral of 25x^(3/2) with respect to x	$\int 25 x^{\frac{3}{2}} d x$
811	Evaluate the Integral	integral of cos(x^2) with respect to x	$\int \cos (x^{2}) d x$
812	Evaluate the Integral	integral of natural log of 5x with respect to x	$\int \ln (5 x) d x$
813	Evaluate the Integral	integral of tan(x)^5 with respect to x	$\int \tan^{5} (x) d x$
814	Evaluate the Integral	integral of 4 with respect to x	$\int 4 d x$
815	Evaluate the Integral	integral from 1 to 7 of w^2 natural log of w with respect to w	$\int_{1}^{7} w^{2} \ln (w) d w$
816	Evaluate the Integral	integral from 0 to pi/8 of sin(2x) with respect to x	$\int_{0}^{\frac{π}{8}} \sin (2 x) d x$
817	Evaluate the Integral	integral of 18x^(1/2) with respect to x	$\int 18 x^{\frac{1}{2}} d x$
818	Evaluate the Integral	integral of 1/(x+1) with respect to x	$\int \frac{1}{x + 1} d x$
819	Find the Derivative - d/dd	d/(dx)*(4x^2)+7x- natural log of x	$\frac{d}{d x} \cdot (4 x^{2}) + 7 x - \ln (x)$
820	Evaluate the Integral	integral of 2x+9 with respect to x	$\int 2 x + 9 d x$
821	Evaluate	arcsec( square root of 2)	$arcsec (\sqrt{2})$
822	Find the Critical Points	e^(1-20x+5x^2)	$e^{1 - 20 x + 5 x^{2}}$
823	Find dy/dx	tan(x+y)=x	$\tan (x + y) = x$
824	Find dy/dx	2x^3+x^2y-xy^3=2	$2 x^{3} + x^{2} y - x y^{3} = 2$
825	Find dy/dx	(x+y)^3=x^3+y^3	${(x + y)}^{3} = x^{3} + y^{3}$
826	Find dy/dx	x^4(x+y)=y^2(3x-y)	$x^{4} (x + y) = y^{2} (3 x - y)$
827	Find dy/dx	x^2+xy-y^2=4	$x^{2} + x y - y^{2} = 4$
828	Factor	12x^2-176x+484	$12 x^{2} - 176 x + 484$
829	Find the Derivative - d/d@VAR	f(x)=x^2 natural log of x	$f (x) = x^{2} \ln (x)$
830	Find the Derivative - d/dx	f(x) = square root of x-1	$f (x) = \sqrt{x - 1}$
831	Find the Derivative - d/dx	f(x)=x/2	$f (x) = \frac{x}{2}$
832	Find the Derivative - d/dx	f(x)=x^2-1	$f (x) = x^{2} - 1$
833	Find the Derivative - d/dx	f(x) = square root of x^2+1	$f (x) = \sqrt{x^{2} + 1}$
834	Find the Derivative - d/dx	f(x)=4x^2	$f (x) = 4 x^{2}$
835	Find the Derivative - d/dx	f(x)=x^2 natural log of x	$f (x) = x^{2} \ln (x)$
836	Find the Derivative - d/dx	y=7/( square root of x)	$y = \frac{7}{\sqrt{x}}$
837	Find the Derivative - d/dx	((x+6)x)/(x+1)	$\frac{(x + 6) x}{x + 1}$
838	Find the Derivative - d/dx	x^3e^x	$x^{3} e^{x}$
839	Find the Derivative - d/dx	natural log of 3e^(2x-5)(3x^3+5)^7	$\ln (3 e^{(2 x - 5)} {(3 x^{3} + 5)}^{7})$
840	Find the Derivative - d/dx	natural log of x square root of x^2-1	$\ln (x \sqrt{x^{2} - 1})$
841	Find the Derivative - d/dx	f(x)=x natural log of x	$f (x) = x \ln (x)$
842	Find the Derivative - d/dx	f(x) = natural log of square root of x	$f (x) = \ln (\sqrt{x})$
843	Find the Derivative - d/dx	x^2y^2	$x^{2} y^{2}$
844	Find the Derivative - d/dx	natural log of \|x\|	$\ln (\| x \|)$
845	Find the Derivative - d/dx	x square root of 1-x^2	$x \sqrt{1 - x^{2}}$
846	Find the Derivative - d/dx	y=x^2sin(x)	$y = x^{2} \sin (x)$
847	Find the Derivative - d/dx	sec(x)^3	$\sec^{3} (x)$
848	Find the Derivative - d/dx	4cos(x)	$4 \cos (x)$
849	Find the Derivative - d/dx	(x^2)/2	$\frac{x^{2}}{2}$
850	Find the Derivative - d/dx	log base 2 of x	$\log_{2} (x)$
851	Find the Derivative - d/dx	(2x-3)^4(x^2+x+1)^5	${(2 x - 3)}^{4} {(x^{2} + x + 1)}^{5}$
852	Find the Derivative Using Quotient Rule - d/dx	1/(x^2)	$\frac{1}{x^{2}}$
853	Evaluate the Integral	integral of 7 with respect to x	$\int 7 d x$
854	Find the Integral	e^(-3t)	$e^{- 3 t}$
855	Find the Integral	e^(-x^2)	$e^{- x^{2}}$
856	Find the Derivative - d/dr	square root of r+ fifth root of R	$\sqrt{r} + \sqrt[5]{R}$
857	Find the Derivative - d/dI	natural log of 8	$\ln (8)$
858	Find the Derivative - d/d@VAR	f(x)=x^2+x	$f (x) = x^{2} + x$
859	Find the Derivative - d/d@VAR	f(x)=4x^2	$f (x) = 4 x^{2}$
860	Find the Derivative - d/d@VAR	f(x)=6x^2	$f (x) = 6 x^{2}$
861	Find the Derivative - d/d@VAR	f(x)=1/( square root of x)	$f (x) = \frac{1}{\sqrt{x}}$
862	Find the Derivative - d/dx	(2x+7)^2	${(2 x + 7)}^{2}$
863	Find the Derivative - d/dx	y=x^7	$y = x^{7}$
864	Find the Derivative - d/dx	-csc(x)-cos(x)	$- \csc (x) - \cos (x)$
865	Find the Derivative - d/dx	(cos(x))/(x^3)	$\frac{\cos (x)}{x^{3}}$
866	Find the Derivative - d/dx	a^x	$a^{x}$
867	Find the Derivative - d/dx	(10-cos(x))/(10+sin(x))	$\frac{10 - \cos (x)}{10 + \sin (x)}$
868	Find the Derivative - d/dx	9/(8x^2)	$\frac{9}{8 x^{2}}$
869	Find the Derivative - d/dx	square root of 1-4x	$\sqrt{1 - 4 x}$
870	Find the Derivative - d/dx	natural log of 8x	$\ln (8 x)$
871	Find the Derivative - d/dx	x^2+y^2	$x^{2} + y^{2}$
872	Find the Derivative - d/dx	( natural log of x)/(x^2)	$\frac{\ln (x)}{x^{2}}$
873	Find the Derivative - d/dx	7 square root of xsin(x)	$7 \sqrt{x} \sin (x)$
874	Find the Derivative - d/dx	-3	$- 3$
875	Find the Derivative - d/dx	(2x)/(3y)	$\frac{2 x}{3 y}$
876	Find the Derivative - d/du	e^u	$e^{u}$
877	Solve for x	1-1/95x^2=0	$1 - \frac{1}{95} x^{2} = 0$
878	Expand the Logarithmic Expression	log of 32*64	$\log (32) \cdot 64$
879	Graph	natural log of x^2+1	$\ln (x^{2} + 1)$
880	Evaluate the Limit	( limit as x approaches 0 of sin(3x))/x	$\frac{lim_{x \to 0} \sin (3 x)}{x}$
881	Evaluate the Limit	limit as x approaches 4 of ( square root of x+5-3)/(x-4)	$lim_{x \to 4} \frac{\sqrt{x + 5} - 3}{x - 4}$
882	Find the Area Between the Curves	y=2x-x^2 , y=2x-4	$y = 2 x - x^{2}$ , $y = 2 x - 4$
883	Evaluate the Limit	limit as x approaches 1 of x	$lim_{x \to 1} x$
884	Evaluate the Limit	limit as x approaches 2 of (\|x-2\|)/(x-2)	$lim_{x \to 2} \frac{\| x - 2 \|}{x - 2}$
885	Evaluate the Limit	limit as x approaches 0 of x/x	$lim_{x \to 0} \frac{x}{x}$
886	Evaluate the Limit	limit as x approaches 4 of (x^2-16)/(x-4)	$lim_{x \to 4} \frac{x^{2} - 16}{x - 4}$
887	Evaluate the Limit	( limit as x approaches 1 of square root of x-1)/(x-1)	$\frac{lim_{x \to 1} \sqrt{x} - 1}{x - 1}$
888	Evaluate the Limit	( limit as x approaches 5 of x-5)/(x^2-25)	$\frac{lim_{x \to 5} x - 5}{x^{2} - 25}$
889	Find the Antiderivative	3x^2	$3 x^{2}$
890	Find the Antiderivative	sec(x)^2	$\sec^{2} (x)$
891	Find the Antiderivative	2x^2	$2 x^{2}$
892	Find the Local Maxima and Minima	f(x)=e^(1-20x+5x^2)	$f (x) = e^{1 - 20 x + 5 x^{2}}$
893	Find the Local Maxima and Minima	f(x)=x^3-12x+2	$f (x) = x^{3} - 12 x + 2$
894	Find the Local Maxima and Minima	f(x)=x^2e^(-x)	$f (x) = x^{2} e^{- x}$
895	Find the Local Maxima and Minima	f(x)=x+9/x	$f (x) = x + \frac{9}{x}$
896	Evaluate the Limit	limit as x approaches 8 of e^(-x)	$lim_{x \to 8} e^{- x}$
897	Evaluate the Limit	limit as x approaches infinity of square root of 9x^2+x-3x	$lim_{x \to \infty} \sqrt{9 x^{2} + x} - 3 x$
898	Evaluate the Limit	limit as x approaches infinity of e^(-x)	$lim_{x \to \infty} e^{- x}$
899	Evaluate the Limit	limit as x approaches 9 of (x-9)/( square root of x-3)	$lim_{x \to 9} \frac{x - 9}{\sqrt{x} - 3}$
900	Evaluate the Limit	limit as x approaches 16 of (4- square root of x)/(16x-x^2)	$lim_{x \to 16} \frac{4 - \sqrt{x}}{16 x - x^{2}}$