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Popular Calculus Problems

derivative of y=(3x-4)^5	derivative\:y=(3x-4)^{5}
derivative of ln(2x+1-x^2)	\frac{d}{dx}(\ln(2x+1)-x^{2})
f(x)=csc^2(x)	f(x)=\csc^{2}(x)
integral from 1 to 2 of (11)/(x^3+4x)	\int\:_{1}^{2}\frac{11}{x^{3}+4x}dx
derivative of 2cos^2(t)	derivative\:2\cos^{2}(t)
integral of x^4e^{x^5+2}	\int\:x^{4}e^{x^{5}+2}dx
integral from-4 to-2 of 1/(x^3)	\int\:_{-4}^{-2}\frac{1}{x^{3}}dx
integral from 1 to 4 of sqrt(x)ln(sqrt(x))	\int\:_{1}^{4}\sqrt{x}\ln(\sqrt{x})dx
integral of x/(5-4x^2-x^4)	\int\:\frac{x}{5-4x^{2}-x^{4}}dx
inverse oflaplace (12e^{-s})/(s(10s+1))	inverselaplace\:\frac{12e^{-s}}{s(10s+1)}
integral from 0 to 8 of 3/(sqrt(8-x))	\int\:_{0}^{8}\frac{3}{\sqrt{8-x}}dx
integral of 2/(x^3+9x)	\int\:\frac{2}{x^{3}+9x}dx
derivative of (tan(x)^{sin(x)})	\frac{d}{dx}((\tan(x))^{\sin(x)})
derivative of-2e^{2x}	\frac{d}{dx}(-2e^{2x})
limit as x approaches 6 of 7/(x-6)	\lim\:_{x\to\:6}(\frac{7}{x-6})
integral from 0 to 4 of \|2x^2-7x+3\|	\int\:_{0}^{4}\left\|2x^{2}-7x+3\right\|dx
((dy)/(dx))+(2xy)/(x^2+1)=x	(\frac{dy}{dx})+\frac{2xy}{x^{2}+1}=x
derivative of f(x)=-(1/3)^{(x+2)}	derivative\:f(x)=-(\frac{1}{3})^{(x+2)}
limit as n approaches 1 of 1/(n^2)	\lim\:_{n\to\:1}(\frac{1}{n^{2}})
integral from 1 to 9 of sqrt(x)*ln(x)	\int\:_{1}^{9}\sqrt{x}\cdot\:\ln(x)dx
integral of sqrt(x^2+x+2)	\int\:\sqrt{x^{2}+x+2}dx
derivative of x=4cos(t)	derivative\:x=4\cos(t)
integral from 2 to 4 of x((2x-3))/6	\int\:_{2}^{4}x\frac{(2x-3)}{6}dx
sum from n=2 to infinity of 1/(n!)	\sum\:_{n=2}^{\infty\:}\frac{1}{n!}
derivative of (x-46/(sqrt(x)-\sqrt{46)})	\frac{d}{dx}(\frac{x-46}{\sqrt{x}-\sqrt{46}})
derivative of x^9arccos(x)	derivative\:x^{9}\arccos(x)
integral of x/(e^{3x)}	\int\:\frac{x}{e^{3x}}dx
integral of ln(x)x^{-3}	\int\:\ln(x)x^{-3}dx
(\partial)/(\partial x)(x^2-6y)	\frac{\partial\:}{\partial\:x}(x^{2}-6y)
(-ln(2x))^'	(-\ln(2x))^{\prime\:}
tangent of f(x)=x^2+1,\at x=2	tangent\:f(x)=x^{2}+1,\at\:x=2
integral of 12-x	\int\:12-xdx
limit as t approaches-1 of 1-2t	\lim\:_{t\to\:-1}(1-2t)
inverse oflaplace 6/(s^2(s^2+8s+1))	inverselaplace\:\frac{6}{s^{2}(s^{2}+8s+1)}
integral of 3x^2-4x+7	\int\:3x^{2}-4x+7dx
area y=2sqrt(x)-x,y=0	area\:y=2\sqrt{x}-x,y=0
derivative of ln(6)	derivative\:\ln(6)
integral of xcos^5(x^2)	\int\:x\cos^{5}(x^{2})dx
limit as t approaches 0 of 5tcot(2t)	\lim\:_{t\to\:0}(5t\cot(2t))
inverse oflaplace (e^{-pis})/(s^2+1)	inverselaplace\:\frac{e^{-πs}}{s^{2}+1}
tangent of y=(4x)/((x^2+1))	tangent\:y=\frac{4x}{(x^{2}+1)}
integral of 2/(9x^2-1)	\int\:\frac{2}{9x^{2}-1}dx
derivative of 3+sin(2x)	\frac{d}{dx}(3+\sin(2x))
area x^2-4x,2x	area\:x^{2}-4x,2x
integral of 1+2x	\int\:1+2xdx
laplacetransform 9y	laplacetransform\:9y
integral of (inx^2)/x	\int\:\frac{inx^{2}}{x}dx
limit as t approaches 0 of 3t	\lim\:_{t\to\:0}(3t)
(\partial)/(\partial y)(x^2+3yz+4xy)	\frac{\partial\:}{\partial\:y}(x^{2}+3yz+4xy)
derivative of 3/(x^2+5/(x^4))	\frac{d}{dx}(\frac{3}{x^{2}}+\frac{5}{x^{4}})
f(x)=x^2*ln(x)	f(x)=x^{2}\cdot\:\ln(x)
integral of xe^{-5x}	\int\:xe^{-5x}dx
integral of (tan(θ)+cot(θ))^2	\int\:(\tan(θ)+\cot(θ))^{2}dθ
integral of 6/(sqrt(x))+6sqrt(x)	\int\:\frac{6}{\sqrt{x}}+6\sqrt{x}dx
(-27sin(3x)-27xcos(3x))^'	(-27\sin(3x)-27x\cos(3x))^{\prime\:}
tangent of f(x)=(2x)/(x^2+1),\at x=-1,-1	tangent\:f(x)=\frac{2x}{x^{2}+1},\at\:x=-1,-1
inverse oflaplace (2e^{-s})/((s+1/5))	inverselaplace\:\frac{2e^{-s}}{(s+\frac{1}{5})}
y^{''}-5y^'-14y=0	y^{\prime\:\prime\:}-5y^{\prime\:}-14y=0
(\partial)/(\partial x)(6)	\frac{\partial\:}{\partial\:x}(6)
(\partial)/(\partial y)(3x^2e^y)	\frac{\partial\:}{\partial\:y}(3x^{2}e^{y})
derivative of 9x-2	\frac{d}{dx}(9x-2)
integral of 2e^xsqrt(5+e^x)	\int\:2e^{x}\sqrt{5+e^{x}}dx
(5t+6y+1)dt-dy=0	(5t+6y+1)dt-dy=0
integral of 1/(x^2+4x+8)	\int\:\frac{1}{x^{2}+4x+8}dx
derivative of sqrt(50-x^2)	\frac{d}{dx}(\sqrt{50-x^{2}})
derivative of (3/4 x^4)	\frac{d}{dx}((\frac{3}{4}x)^{4})
limit as x approaches 0 of (3x+1)^{1/x}	\lim\:_{x\to\:0}((3x+1)^{\frac{1}{x}})
(\partial)/(\partial y)(xysin(x))	\frac{\partial\:}{\partial\:y}(xy\sin(x))
(\partial)/(\partial x)(y^4-4xy)	\frac{\partial\:}{\partial\:x}(y^{4}-4xy)
integral of ln(1-x^2)	\int\:\ln(1-x^{2})dx
limit as x approaches-7+of sqrt(x+7)	\lim\:_{x\to\:-7+}(\sqrt{x+7})
(\partial)/(\partial x)(12x^2-9xy+16y^2)	\frac{\partial\:}{\partial\:x}(12x^{2}-9xy+16y^{2})
integral of cos(t)*sin(t)	\int\:\cos(t)\cdot\:\sin(t)dt
integral from-1 to 1 of 15^x	\int\:_{-1}^{1}15^{x}dx
y^{''}+441y=sec(21x)	y^{\prime\:\prime\:}+441y=\sec(21x)
derivative of (x^3/(12)+1/x)	\frac{d}{dx}(\frac{x^{3}}{12}+\frac{1}{x})
integral of (16)/(e^{4x)}	\int\:\frac{16}{e^{4x}}dx
laplacetransform sin(9t)	laplacetransform\:\sin(9t)
integral of (6x^2)/(x^3-5)	\int\:\frac{6x^{2}}{x^{3}-5}dx
derivative of 2x-y	\frac{d}{dx}(2x-y)
derivative of 5x^2*2e^{3x}	\frac{d}{dx}(5x^{2}\cdot\:2e^{3x})
inverse oflaplace (e^{-s})/((s+1))	inverselaplace\:\frac{e^{-s}}{(s+1)}
integral of sin(t-x)	\int\:\sin(t-x)dx
limit as x approaches 0+of coth(x)	\lim\:_{x\to\:0+}(\coth(x))
integral of-4x	\int\:-4xdx
integral of (2x)/(1+x)	\int\:\frac{2x}{1+x}dx
limit as x approaches 2pi of x(csc(x))	\lim\:_{x\to\:2π}(x(\csc(x)))
integral from 0 to 1 of (2x^2+1)	\int\:_{0}^{1}(2x^{2}+1)dx
f(x)=(7-x^3)^{2/3}	f(x)=(7-x^{3})^{\frac{2}{3}}
y^'-y=2x-3	y^{\prime\:}-y=2x-3
area sqrt(x),x-6,x,2	area\:\sqrt{x},x-6,x,2
derivative of xsqrt(x^2+1)	derivative\:x\sqrt{x^{2}+1}
derivative of (pi-x^2)	\frac{d}{dx}((π-x)^{2})
integral of r^2((r^3)/9-8)^2	\int\:r^{2}(\frac{r^{3}}{9}-8)^{2}dr
f^'(x)=(3f(x))/(xln(x))	f^{\prime\:}(x)=\frac{3f(x)}{x\ln(x)}
derivative of (14400/x)	\frac{d}{dx}(\frac{14400}{x})
derivative of y=(x^4-3x^3-6x^2-3x+2)/x	\frac{d}{dx}y=\frac{x^{4}-3x^{3}-6x^{2}-3x+2}{x}
integral of 5/(x^2+5)	\int\:\frac{5}{x^{2}+5}dx
sum from n=1 to infinity of 6/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{6}{n^{5}}
derivative of-x^3+5ax^2-3a^2x-b	\frac{d}{dx}(-x^{3}+5ax^{2}-3a^{2}x-b)

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