Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
28301	Evaluate the Integral	integral of 1/(x^(1/3)) with respect to x	$\int \frac{1}{x^{\frac{1}{3}}} d x$
28302	Evaluate the Integral	integral of 1/( cube root of x-1) with respect to x	$\int \frac{1}{\sqrt[3]{x - 1}} d x$
28303	Evaluate the Integral	integral of 1/(x^(8/9)(2+x^(1/9))) with respect to x	$\int \frac{1}{x^{\frac{8}{9}} (2 + x^{\frac{1}{9}})} d x$
28304	Evaluate the Integral	integral of 1/(x^2 square root of x^2+16) with respect to x	$\int \frac{1}{x^{2} \sqrt{x^{2} + 16}} d x$
28305	Evaluate the Integral	integral of 1/(x^3-6x^2+11x-6) with respect to x	$\int \frac{1}{x^{3} - 6 x^{2} + 11 x - 6} d x$
28306	Evaluate the Integral	integral of 1/(x^3+x^2-2x) with respect to x	$\int \frac{1}{x^{3} + x^{2} - 2 x} d x$
28307	Evaluate the Integral	integral of 1/(y^2+1) with respect to y	$\int \frac{1}{y^{2} + 1} d y$
28308	Evaluate the Integral	integral of 1/(z^2+1) with respect to z	$\int \frac{1}{z^{2} + 1} d z$
28309	Evaluate the Integral	integral of 1/(1-cos(2x)) with respect to x	$\int \frac{1}{1 - \cos (2 x)} d x$
28310	Evaluate the Integral	integral of 1/(2 square root of x+2x) with respect to x	$\int \frac{1}{2 \sqrt{x} + 2 x} d x$
28311	Evaluate the Integral	integral of 1/(6x+1) with respect to x	$\int \frac{1}{6 x + 1} d x$
28312	Evaluate the Integral	integral of 1/60x+10 with respect to x	$\int \frac{1}{60} x + 10 d x$
28313	Evaluate the Integral	integral of sin(x)^5cos(x)^4 with respect to x	$\int \sin^{5} (x) \cos^{4} (x) d x$
28314	Evaluate the Integral	integral of 1/(7x) with respect to x	$\int \frac{1}{7 x} d x$
28315	Evaluate the Integral	integral of 1/(9-5x) with respect to x	$\int \frac{1}{9 - 5 x} d x$
28316	Evaluate the Integral	integral of 1/(9-7x) with respect to x	$\int \frac{1}{9 - 7 x} d x$
28317	Evaluate the Integral	integral of 1/(9x) with respect to x	$\int \frac{1}{9 x} d x$
28318	Evaluate the Integral	integral of 1/(csc(y)) with respect to y	$\int \frac{1}{\csc (y)} d y$
28319	Evaluate the Integral	integral of 1/(sec(x)tan(x)) with respect to x	$\int \frac{1}{\sec (x) \tan (x)} d x$
28320	Evaluate the Integral	integral of 1/( natural log of 4) with respect to x	$\int \frac{1}{\ln (4)} d x$
28321	Evaluate the Integral	integral of 1/(sin(2x)) with respect to x	$\int \frac{1}{\sin (2 x)} d x$
28322	Evaluate the Integral	integral of 1/(sin(x)+tan(x)) with respect to x	$\int \frac{1}{\sin (x) + \tan (x)} d x$
28323	Evaluate the Integral	integral of 1/(sin(x)-cos(x)-1) with respect to x	$\int \frac{1}{\sin (x) - \cos (x) - 1} d x$
28324	Evaluate the Integral	integral of 1/(sin(y)) with respect to y	$\int \frac{1}{\sin (y)} d y$
28325	Evaluate the Integral	integral of 1/(x(1-x)) with respect to x	$\int \frac{1}{x (1 - x)} d x$
28326	Evaluate the Integral	integral of 1/t-e^(-3t)-cos(t) with respect to t	$\int \frac{1}{t} - e^{- 3 t} - \cos (t) d t$
28327	Evaluate the Integral	integral of 1/(tgx) with respect to x	$\int \frac{1}{t g x} d x$
28328	Evaluate the Integral	integral of 1/(t natural log of t) with respect to t	$\int \frac{1}{t \ln (t)} d t$
28329	Evaluate the Integral	integral of 1/(x(5+x)) with respect to x	$\int \frac{1}{x (5 + x)} d x$
28330	Evaluate the Integral	integral of (1+tan(x)^2)/(tan(x)) with respect to x	$\int \frac{1 + \tan^{2} (x)}{\tan (x)} d x$
28331	Evaluate the Integral	integral of (1+10t^3)/(3t) with respect to t	$\int \frac{1 + 10 t^{3}}{3 t} d t$
28332	Evaluate the Integral	integral of 1/(y natural log of y) with respect to y	$\int \frac{1}{y \ln (y)} d y$
28333	Evaluate the Integral	integral of 1/z with respect to z	$\int \frac{1}{z} d z$
28334	Evaluate the Summation	sum from n=1 to 15 of 2n+1	$\sum_{n = 1}^{15} 2 n + 1$
28335	Evaluate the Integral	integral of 1/(x-9) with respect to x	$\int \frac{1}{x - 9} d x$
28336	Evaluate the Integral	integral of 1/x* natural log of 1/x with respect to x	$\int \frac{1}{x} \cdot \ln (\frac{1}{x}) d x$
28337	Evaluate the Integral	integral of 1/(x square root of 9x^2-16) with respect to x	$\int \frac{1}{x \sqrt{9 x^{2} - 16}} d x$
28338	Evaluate the Integral	integral of 1/(x square root of x^2-25) with respect to x	$\int \frac{1}{x \sqrt{x^{2} - 25}} d x$
28339	Find the 2nd Derivative	f(x)	$f (x)$
28340	Evaluate the Integral	integral of 1/(x square root of x^4-4) with respect to x	$\int \frac{1}{x \sqrt{x^{4} - 4}} d x$
28341	Evaluate the Integral	integral of 1/5 with respect to x	$\int \frac{1}{5} d x$
28342	Evaluate the Integral	integral of 1/6 with respect to x	$\int \frac{1}{6} d x$
28343	Evaluate the Integral	integral of 1/(5x+2) with respect to x	$\int \frac{1}{5 x + 2} d x$
28344	Evaluate the Integral	integral of 1/(5x-7)*(5) with respect to x	$\int \frac{1}{5 x - 7} \cdot (5) d x$
28345	Evaluate the Integral	integral of 1/(4sec(x)) with respect to x	$\int \frac{1}{4 \sec (x)} d x$
28346	Evaluate the Integral	integral of 1/4*sin(4x) with respect to x	$\int \frac{1}{4} \cdot \sin (4 x) d x$
28347	Evaluate the Integral	integral of 1/4x with respect to x	$\int \frac{1}{4} x d x$
28348	Evaluate the Integral	integral of 1/(4x-x^2) with respect to x	$\int \frac{1}{4 x - x^{2}} d x$
28349	Evaluate the Integral	integral of 1/(4x+5) with respect to x	$\int \frac{1}{4 x + 5} d x$
28350	Evaluate the Integral	integral of 1/(3-x) with respect to x	$\int \frac{1}{3 - x} d x$
28351	Evaluate the Integral	integral of 1/(3x-7) with respect to x	$\int \frac{1}{3 x - 7} d x$
28352	Evaluate the Integral	integral of 1/(3y) with respect to y	$\int \frac{1}{3 y} d y$
28353	Evaluate the Integral	integral from -1/4 to 0 of e^(5x) with respect to x	$\int_{- \frac{1}{4}}^{0} e^{5 x} d x$
28354	Evaluate the Integral	integral of 1/30x+10 with respect to x	$\int \frac{1}{30} x + 10 d x$
28355	Evaluate the Integral	integral of 1/(3-4x) with respect to x	$\int \frac{1}{3 - 4 x} d x$
28356	Evaluate the Integral	integral of 1/(3-5x) with respect to x	$\int \frac{1}{3 - 5 x} d x$
28357	Evaluate the Integral	integral of 1/(3+2cos(x)) with respect to x	$\int \frac{1}{3 + 2 \cos (x)} d x$
28358	Evaluate the Integral	integral of -1/3*cos(3x) with respect to x	$\int - \frac{1}{3} \cdot \cos (3 x) d x$
28359	Evaluate the Integral	integral of 1/3sin(2x)+1/2cos(3x) with respect to x	$\int \frac{1}{3} \cdot \sin (2 x) + \frac{1}{2} \cdot \cos (3 x) d x$
28360	Evaluate the Integral	integral of 1/3*(4x-x^2)^3-1/3x^3 with respect to x	$\int \frac{1}{3} \cdot {(4 x - x^{2})}^{3} - \frac{1}{3} x^{3} d x$
28361	Evaluate the Integral	integral of 1/3x^3 with respect to x	$\int \frac{1}{3} x^{3} d x$
28362	Evaluate the Integral	integral of 1/3x^3+9 with respect to x	$\int \frac{1}{3} x^{3} + 9 d x$
28363	Evaluate the Integral	integral of 1/(25-x^2) with respect to x	$\int \frac{1}{25 - x^{2}} d x$
28364	Evaluate the Integral	integral of 1/(2cos(x)+sin(x)+3) with respect to x	$\int \frac{1}{2 \cos (x) + \sin (x) + 3} d x$
28365	Evaluate the Integral	integral from 1/2 to square root of 3/2 of 1/(x^2 square root of 1-x^2) with respect to x	$\int_{\frac{1}{2}}^{\sqrt{\frac{3}{2}}} \frac{1}{x^{2} \sqrt{1 - x^{2}}} d x$
28366	Find the 2nd Derivative	(4x+5)^3	${(4 x + 5)}^{3}$
28367	Evaluate the Integral	integral of 1/(2+2w)*(2w) with respect to w	$\int \frac{1}{2 + 2 w} \cdot (2 w) d w$
28368	Evaluate the Integral	integral of 1/(3(2x-1)^2) with respect to x	$\int \frac{1}{3 {(2 x - 1)}^{2}} d x$
28369	Evaluate the Integral	integral of 1/(2x square root of x) with respect to x	$\int \frac{1}{2 x \sqrt{x}} d x$
28370	Evaluate the Integral	integral of 1/(2x^6) with respect to x	$\int \frac{1}{2 x^{6}} d x$
28371	Evaluate the Integral	integral from 1/2 to 1 of 1/(t^2)*(1+1/t)^3 with respect to t	$\int_{\frac{1}{2}}^{1} \frac{1}{t^{2}} \cdot {(1 + \frac{1}{t})}^{3} d t$
28372	Find the 3rd Derivative	5x(x+4)^3	$5 x {(x + 4)}^{3}$
28373	Find the 3rd Derivative	f(x)=(5x-4)^3	$f (x) = {(5 x - 4)}^{3}$
28374	Find the 2nd Derivative	y=x square root of x+9	$y = x \sqrt{x + 9}$
28375	Find the 3rd Derivative	9/x	$\frac{9}{x}$
28376	Find the 2nd Derivative	y=x square root of 9-x^2	$y = x \sqrt{9 - x^{2}}$
28377	Evaluate the Integral	integral of 1/(x^3+x) with respect to x	$\int \frac{1}{x^{3} + x} d x$
28378	Evaluate the Integral	integral of 1/(y^2-1) with respect to y	$\int \frac{1}{y^{2} - 1} d y$
28379	Find the 3rd Derivative	3x^3	$3 x^{3}$
28380	Find the 3rd Derivative	f(x)=5x^6-7x^4+6x^2	$f (x) = 5 x^{6} - 7 x^{4} + 6 x^{2}$
28381	Find the 3rd Derivative	f(x)=7x-9/x	$f (x) = 7 x - \frac{9}{x}$
28382	Find the 3rd Derivative	f(x)=9sin(x)	$f (x) = 9 \sin (x)$
28383	Evaluate the Integral	integral of (x+1)e^(5x^2+10x) with respect to x	$\int (x + 1) e^{5 x^{2} + 10 x} d x$
28384	Find the 3rd Derivative	y = square root of 4x-1	$y = \sqrt{4 x - 1}$
28385	Find the 3rd Derivative	y=e^(2x)	$y = e^{2 x}$
28386	Find the 3rd Derivative	f(x)=x^4-8x^3	$f (x) = x^{4} - 8 x^{3}$
28387	Find the 3rd Derivative	sin(3x)	$\sin (3 x)$
28388	Find the 3rd Derivative	sin(-3x)	$\sin (- 3 x)$
28389	Find the 3rd Derivative	sin(4x)	$\sin (4 x)$
28390	Find the 3rd Derivative	x(cos(2x))	$x (\cos (2 x))$
28391	Find the 3rd Derivative	f(x)=3x^3+3y^3-6xy	$f (x) = 3 x^{3} + 3 y^{3} - 6 x y$
28392	Find the 3rd Derivative	f(x)=2x^3-5x^4	$f (x) = 2 x^{3} - 5 x^{4}$
28393	Solve for x	3x^2-18x=0	$3 x^{2} - 18 x = 0$
28394	Find the 3rd Derivative	f(x)=8/(x^2)	$f (x) = \frac{8}{x^{2}}$
28395	Find the 3rd Derivative	f(x) = cube root of x^2+3x^4-5	$f (x) = \sqrt[3]{x^{2}} + 3 x^{4} - 5$
28396	Find the Derivative - d/d@VAR	f(x)=(e^(5x))/(x^20)	$f (x) = \frac{e^{5 x}}{x^{20}}$
28397	Find the Derivative - d/d@VAR	f(x)=48x^(2/3)	$f (x) = 48 x^{\frac{2}{3}}$
28398	Find the 3rd Derivative	f(x)=(5x-8)^3	$f (x) = {(5 x - 8)}^{3}$
28399	Find the 4th Derivative	f(x)=2x^5+x^4-x-1	$f (x) = 2 x^{5} + x^{4} - x - 1$
28400	Find the Derivative - d/d@VAR	f(x)=(7x^3+9x^2)/x	$f (x) = \frac{7 x^{3} + 9 x^{2}}{x}$