Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28601	Find the 2nd Derivative	-4000x+20000	$- 4000 x + 20000$
28602	Find the 2nd Derivative	-4x^8+1	$- 4 x^{8} + 1$
28603	Graph	g(x) = log base 4 of x+1	$g (x) = \log_{4} (x + 1)$
28604	Determine if Continuous	f(x)=(x^2-25)/(x-5)	$f (x) = \frac{x^{2} - 25}{x - 5}$
28605	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-12x+7	$f (x) = x^{3} - 12 x + 7$
28606	Find Where Increasing/Decreasing Using Derivatives	f(x)=x/(x^2+49)	$f (x) = \frac{x}{x^{2} + 49}$
28607	Find the 2nd Derivative	cos(x^5)	$\cos (x^{5})$
28608	Find the Inflection Points	230+8x^3+x^4	$230 + 8 x^{3} + x^{4}$
28609	Find the 2nd Derivative	cos(kt)	$\cos (k t)$
28610	Find the 2nd Derivative	cos(pix)	$\cos (π x)$
28611	Find the Inflection Points	x/(x^2+64)	$\frac{x}{x^{2} + 64}$
28612	Find the 2nd Derivative	f(x)=(4x+5)^3	$f (x) = {(4 x + 5)}^{3}$
28613	Find the 2nd Derivative	f(x)=(4x-9)^3	$f (x) = {(4 x - 9)}^{3}$
28614	Find the 2nd Derivative	f(x)=(7x+5)^4	$f (x) = {(7 x + 5)}^{4}$
28615	Find the 2nd Derivative	f(x)=(4x-3)^3	$f (x) = {(4 x - 3)}^{3}$
28616	Find the 2nd Derivative	f(x)=(4x-7)^3	$f (x) = {(4 x - 7)}^{3}$
28617	Find the 2nd Derivative	f(x)=(e^x)/x	$f (x) = \frac{e^{x}}{x}$
28618	Find the 2nd Derivative	f(x)=(x^2)/(3+8x)	$f (x) = \frac{x^{2}}{3 + 8 x}$
28619	Find the 2nd Derivative	f(x)=(x^2)/(7+4x)	$f (x) = \frac{x^{2}}{7 + 4 x}$
28620	Find the Critical Points	f(x)=x^3+3x^2-144x	$f (x) = x^{3} + 3 x^{2} - 144 x$
28621	Find the 2nd Derivative	f(x)=1/3x^3-5x^2+1	$f (x) = \frac{1}{3} x^{3} - 5 x^{2} + 1$
28622	Find the 2nd Derivative	f(x)=(x^2-2x)/(x^2+2x-8)	$f (x) = \frac{x^{2} - 2 x}{x^{2} + 2 x - 8}$
28623	Find the 2nd Derivative	f(x)=(x^3)/(x^2-9)	$f (x) = \frac{x^{3}}{x^{2} - 9}$
28624	Find the 2nd Derivative	f(x)=1/(x^2-4)	$f (x) = \frac{1}{x^{2} - 4}$
28625	Find the 2nd Derivative	f(x)=1/4x^4-2x^2	$f (x) = \frac{1}{4} x^{4} - 2 x^{2}$
28626	Find the 2nd Derivative	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
28627	Find the 2nd Derivative	f(x)=5/(x^2-9)	$f (x) = \frac{5}{x^{2} - 9}$
28628	Find the 2nd Derivative	f(x)=(3x-4)/(4x-3)	$f (x) = \frac{3 x - 4}{4 x - 3}$
28629	Find the 2nd Derivative	f(x)=(2x-1)/(4x+5)	$f (x) = \frac{2 x - 1}{4 x + 5}$
28630	Find the 2nd Derivative	f(x)=2.3^x	$f (x) = {2.3}^{x}$
28631	Find the 2nd Derivative	f(x)=(2x^2-18)/(x^2-4)	$f (x) = \frac{2 x^{2} - 18}{x^{2} - 4}$
28632	Find the 2nd Derivative	f(x)=(3x^2+5x-4)/x	$f (x) = \frac{3 x^{2} + 5 x - 4}{x}$
28633	Evaluate the Integral	integral of 3x^2-4x-1 with respect to x	$\int 3 x^{2} - 4 x - 1 d x$
28634	Evaluate the Integral	integral of 3x^2-4x-4 with respect to x	$\int 3 x^{2} - 4 x - 4 d x$
28635	Evaluate the Integral	integral of 3x^2-5 with respect to x	$\int 3 x^{2} - 5 d x$
28636	Evaluate the Integral	integral of 3x^2-3x+3 with respect to x	$\int 3 x^{2} - 3 x + 3 d x$
28637	Evaluate the Integral	integral of (3x^2+8) square root of x^3+8x with respect to x	$\int (3 x^{2} + 8) \sqrt{x^{3} + 8 x} d x$
28638	Evaluate the Integral	integral of 3x^2-5x+5 with respect to x	$\int 3 x^{2} - 5 x + 5 d x$
28639	Evaluate the Integral	integral of 3x^2-6x+2 with respect to x	$\int 3 x^{2} - 6 x + 2 d x$
28640	Evaluate the Integral	integral of 3x^2-6x+3 with respect to x	$\int 3 x^{2} - 6 x + 3 d x$
28641	Evaluate the Integral	integral of 3x^2-9x+3 with respect to x	$\int 3 x^{2} - 9 x + 3 d x$
28642	Evaluate the Integral	integral of 3 square root of x^3+4 cube root of x^2 with respect to x	$\int 3 \sqrt{x^{3}} + 4 \sqrt[3]{x^{2}} d x$
28643	Evaluate the Integral	integral of 3x^5-5x^9 with respect to x	$\int 3 x^{5} - 5 x^{9} d x$
28644	Evaluate the Integral	integral of (3y^2+6y)(y^3+3y^2+1)^(2/3) with respect to y	$\int (3 y^{2} + 6 y) {(y^{3} + 3 y^{2} + 1)}^{\frac{2}{3}} d y$
28645	Evaluate the Integral	integral of 35-10t with respect to t	$\int 35 - 10 t d t$
28646	Evaluate the Integral	integral of (3-x)e^(-x) with respect to x	$\int (3 - x) e^{- x} d x$
28647	Evaluate the Integral	integral of 3sec(x)tan(x)+csc(x)^2 with respect to x	$\int 3 \sec (x) \tan (x) + \csc^{2} (x) d x$
28648	Evaluate the Integral	integral of 3sin(x)+2cos(x) with respect to x	$\int 3 \sin (x) + 2 \cos (x) d x$
28649	Evaluate the Integral	integral of 2x-1/(x^2)+2x^-3+3^2 with respect to x	$\int 2 x - \frac{1}{x^{2}} + 2 x^{- 3} + 3^{2} d x$
28650	Evaluate the Integral	integral of (2t+1)(t-2) with respect to t	$\int (2 t + 1) (t - 2) d t$
28651	Evaluate the Integral	integral of (2cos(x)+2sin(x))(cos(x)-sin(x))^4 with respect to x	$\int (2 \cos (x) + 2 \sin (x)) {(\cos (x) - \sin (x))}^{4} d x$
28652	Evaluate the Integral	integral of -24x^5-10x with respect to x	$\int - 24 x^{5} - 10 x d x$
28653	Evaluate the Integral	integral of 2cos(7x)-sin(x/2)-pi with respect to x	$\int 2 \cos (7 x) - \sin (\frac{x}{2}) - π d x$
28654	Evaluate the Integral	integral of 2y^2+10y+7 with respect to y	$\int 2 y^{2} + 10 y + 7 d y$
28655	Evaluate the Integral	integral of 2x^4+6x^3+7x^2-4x+1 with respect to x	$\int 2 x^{4} + 6 x^{3} + 7 x^{2} - 4 x + 1 d x$
28656	Evaluate the Integral	integral of 3t^2 square root of t^3+t^2+1+2t square root of t^3+t^2+1 with respect to t	$\int 3 t^{2} \sqrt{t^{3} + t^{2} + 1} + 2 t \sqrt{t^{3} + t^{2} + 1} d t$
28657	Evaluate the Integral	integral of 3t^2+t/9 with respect to t	$\int 3 t^{2} + \frac{t}{9} d t$
28658	Evaluate the Integral	integral of 3t^2-4t+7 with respect to t	$\int 3 t^{2} - 4 t + 7 d t$
28659	Evaluate the Integral	integral of 3u^-2-4u^2+3 with respect to u	$\int 3 u^{- 2} - 4 u^{2} + 3 d u$
28660	Evaluate the Integral	integral of 2x-9sin(x) with respect to x	$\int 2 x - 9 \sin (x) d x$
28661	Evaluate the Integral	integral of (2x+3)e^(x^2+3x) with respect to x	$\int (2 x + 3) e^{x^{2} + 3 x} d x$
28662	Evaluate the Integral	integral of (2x+3) square root of 2x-1 with respect to x	$\int (2 x + 3) \sqrt{2 x - 1} d x$
28663	Evaluate the Integral	integral of 2t^3-5t+3 with respect to t	$\int 2 t^{3} - 5 t + 3 d t$
28664	Evaluate the Integral	integral of 2e^(2y)-2e^(-2y) with respect to y	$\int 2 e^{2 y} - 2 e^{- 2 y} d y$
28665	Evaluate the Integral	integral of (1-cos(x/2))sin(x/2) with respect to x	$\int (1 - \cos (\frac{x}{2})) \sin (\frac{x}{2}) d x$
28666	Evaluate the Integral	integral of 2u^2-2u^-1 with respect to u	$\int 2 u^{2} - 2 u^{- 1} d u$
28667	Evaluate the Integral	integral of 2 square root of x-3x^2+1 with respect to x	$\int 2 \sqrt{x} - 3 x^{2} + 1 d x$
28668	Evaluate the Integral	integral of 12x^5-3x^2-8x+7 with respect to x	$\int 12 x^{5} - 3 x^{2} - 8 x + 7 d x$
28669	Evaluate the Integral	integral of 16x+7 with respect to x	$\int 16 x + 7 d x$
28670	Evaluate the Integral	integral of (18x+e^x) square root of 9x^2+e^x with respect to x	$\int (18 x + e^{x}) \sqrt{9 x^{2} + e^{x}} d x$
28671	Evaluate the Integral	integral of (1-t)(2+t^2) with respect to t	$\int (1 - t) (2 + t^{2}) d t$
28672	Evaluate the Integral	integral of 18 square root of x+1/( cube root of x) with respect to x	$\int 18 \sqrt{x} + \frac{1}{\sqrt[3]{x}} d x$
28673	Evaluate the Integral	integral of 12x^5-6x+9 with respect to x	$\int 12 x^{5} - 6 x + 9 d x$
28674	Evaluate the Integral	integral of 12x^2-3x+2 with respect to x	$\int 12 x^{2} - 3 x + 2 d x$
28675	Evaluate the Integral	integral of 12x^2-3/(x^4) with respect to x	$\int 12 x^{2} - \frac{3}{x^{4}} d x$
28676	Evaluate the Integral	integral of 12 square root of x+1/( fifth root of x) with respect to x	$\int 12 \sqrt{x} + \frac{1}{\sqrt[5]{x}} d x$
28677	Evaluate the Integral	integral of x^9-cos(x) with respect to x	$\int x^{9} - \cos (x) d x$
28678	Evaluate the Integral	integral of x^4-6 square root of x+x^(-4/3) with respect to x	$\int x^{4} - 6 \sqrt{x} + x^{- \frac{4}{3}} d x$
28679	Evaluate the Integral	integral of x^4-6x^2-2x+4 with respect to x	$\int x^{4} - 6 x^{2} - 2 x + 4 d x$
28680	Evaluate the Integral	integral of x^5+ fifth root of x^3+1/(x^3) with respect to x	$\int x^{5} + \sqrt[5]{x^{3}} + \frac{1}{x^{3}} d x$
28681	Evaluate the Integral	integral of -0.50sin(2.5t) with respect to t	$\int - 0.5 \sin (2.5 t) d t$
28682	Evaluate the Integral	integral of x^4-3 with respect to x	$\int x^{4} - 3 d x$
28683	Graph	32y^2-52xy-7x^2+72 square root of 5x-144 square root of 5y+900=0	$32 y^{2} - 52 x y - 7 x^{2} + 72 \sqrt{5 x} - 144 \sqrt{5 y} + 900 = 0$
28684	Evaluate the Integral	integral of y^3+1.8y^2-2.4ydy with respect to y	$\int y^{3} + 1.8 y^{2} - 2.4 yds y d y$
28685	Evaluate the Integral	integral of 10u^(3/2)-14u^(5/2) with respect to u	$\int 10 u^{\frac{3}{2}} - 14 u^{\frac{5}{2}} d u$
28686	Evaluate the Integral	integral of 9x-4x+5 with respect to x	$\int 9 x - 4 x + 5 d x$
28687	Evaluate the Integral	integral of ax+b with respect to x	$\int a x + b d x$
28688	Evaluate the Integral	integral of cos(8x-2) with respect to x	$\int \cos (8 x - 2) d x$
28689	Evaluate the Integral	integral of sec(x)-cot(x) with respect to x	$\int \sec (x) - \cot (x) d x$
28690	Evaluate the Integral	integral of csc(x)+tan(x) with respect to x	$\int \csc (x) + \tan (x) d x$
28691	Evaluate the Integral	integral of (9x^8+5) square root of x^9+5x with respect to x	$\int (9 x^{8} + 5) \sqrt{x^{9} + 5 x} d x$
28692	Evaluate the Integral	integral of 96-32t with respect to t	$\int 96 - 32 t d t$
28693	Evaluate the Integral	integral of 8x^3-3x^2+2 with respect to x	$\int 8 x^{3} - 3 x^{2} + 2 d x$
28694	Evaluate the Integral	integral of -8t+7 with respect to t	$\int - 8 t + 7 d t$
28695	Evaluate the Integral	integral of (8x+9) square root of 4x^2+9x with respect to x	$\int (8 x + 9) \sqrt{4 x^{2} + 9 x} d x$
28696	Evaluate the Integral	integral of 9x^2-5x+3 with respect to x	$\int 9 x^{2} - 5 x + 3 d x$
28697	Evaluate the Integral	integral of -9t^-2.5-2t^-1 with respect to t	$\int - 9 t^{- 2.5} - 2 t^{- 1} d t$
28698	Evaluate the Integral	integral of 9t^2+1/( square root of t^3) with respect to t	$\int 9 t^{2} + \frac{1}{\sqrt{t^{3}}} d t$
28699	Evaluate the Integral	integral of 8x-7 with respect to x	$\int 8 x - 7 d x$
28700	Evaluate the Integral	integral of 9 square root of x^3+8 cube root of x^2 with respect to x	$\int 9 \sqrt{x^{3}} + 8 \sqrt[3]{x^{2}} d x$