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Popular Calculus Problems

integral of (7(4-x^2))/((x-4)(x-2)(x+3))	\int\:\frac{7(4-x^{2})}{(x-4)(x-2)(x+3)}dx
integral of 1/5 sin(5x)	\int\:\frac{1}{5}\sin(5x)dx
d/(dt)(-4t^3)	\frac{d}{dt}(-4t^{3})
integral of-1/8 sin(2x)	\int\:-\frac{1}{8}\sin(2x)dx
limit as x approaches 1 of log_{4}(x)	\lim\:_{x\to\:1}(\log_{4}(x))
limit as x approaches 8+of 1/(x-8)-1/(sqrt(x-8))	\lim\:_{x\to\:8+}(\frac{1}{x-8}-\frac{1}{\sqrt{x-8}})
limit as x approaches 4 of (5+x)/(x-4)	\lim\:_{x\to\:4}(\frac{5+x}{x-4})
sum from n=1 to infinity of 2/(n^3)	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{3}}
integral of tsqrt(7t^2+12)	\int\:t\sqrt{7t^{2}+12}dt
limit as x approaches 1 of-x^2-5x+6	\lim\:_{x\to\:1}(-x^{2}-5x+6)
f(x)=e^xcos(2x)	f(x)=e^{x}\cos(2x)
laplacetransform 5(t-8)-10(t-4)	laplacetransform\:5\cdot\:(t-8)-10\cdot\:(t-4)
(\partial)/(\partial x)(x^{3x})	\frac{\partial\:}{\partial\:x}(x^{3x})
integral of sqrt(x)(x^3-2/(x^2)+6)	\int\:\sqrt{x}(x^{3}-\frac{2}{x^{2}}+6)dx
limit as x approaches 0 of x^2-(cos(x))/(10000)	\lim\:_{x\to\:0}(x^{2}-\frac{\cos(x)}{10000})
(\partial)/(\partial x)(ln(x+y^3)-z)	\frac{\partial\:}{\partial\:x}(\ln(x+y^{3})-z)
integral of (8x^7)/((x^8+1)^2)	\int\:\frac{8x^{7}}{(x^{8}+1)^{2}}dx
derivative of (dx/x)	\frac{d}{dx}(\frac{dx}{x})
derivative of (1+3t)^2	derivative\:(1+3t)^{2}
d/(dt)(tsin(t)+cos(t))	\frac{d}{dt}(t\sin(t)+\cos(t))
integral of ((1-x))/(x^2)	\int\:\frac{(1-x)}{x^{2}}dx
derivative of (1+x)^4	derivative\:(1+x)^{4}
integral of 1/(sin(x))	\int\:\frac{1}{\sin(x)}dx
derivative of (1-2t)/(1+3t)	derivative\:\frac{1-2t}{1+3t}
derivative of f(x)=x^2+10x+242x+8	derivative\:f(x)=x^{2}+10x+242x+8
integral of 3(e^{3x}-e^x)	\int\:3(e^{3x}-e^{x})dx
integral of (1/(x^{13)})	\int\:(\frac{1}{x^{13}})dx
derivative of x^2sin^8(x+xcos^{-5}(x))	\frac{d}{dx}(x^{2}\sin^{8}(x)+x\cos^{-5}(x))
tangent of-3(x)^5+9(x)^3,\at x=-1	tangent\:-3(x)^{5}+9(x)^{3},\at\:x=-1
area 4x^2,16x	area\:4x^{2},16x
y^'(x-1)+y(x-2)=0	y^{\prime\:}(x-1)+y(x-2)=0
derivative of x^{0.5}*y^{0.5}	\frac{d}{dx}(x^{0.5}\cdot\:y^{0.5})
f(x)=e^{9x}	f(x)=e^{9x}
(dx)/(dt)=(2500*7.75)/((1500-7.75t))	\frac{dx}{dt}=\frac{2500\cdot\:7.75}{(1500-7.75t)}
integral of e^{-st}	\int\:e^{-st}dt
derivative of (Ax+Be^{-x})	\frac{d}{dx}((Ax+B)e^{-x})
sum from n=1 to infinity of 1/(n(2n-1))	\sum\:_{n=1}^{\infty\:}\frac{1}{n(2n-1)}
tangent of f(x)= 1/(sqrt(8x))	tangent\:f(x)=\frac{1}{\sqrt{8x}}
derivative of (x+1^{-1})	\frac{d}{dx}((x+1)^{-1})
integral of (2x+2y)	\int\:(2x+2y)dy
derivative of ln((7x+8/(4x+8)))	\frac{d}{dx}(\ln(\frac{7x+8}{4x+8}))
derivative of y=((3x^2-x-2))/(3x^2)	derivative\:y=\frac{(3x^{2}-x-2)}{3x^{2}}
integral of (cos^3(x))/(sin^4(x))	\int\:\frac{\cos^{3}(x)}{\sin^{4}(x)}dx
integral from-6 to 4 of \|x\|	\int\:_{-6}^{4}\left\|x\right\|dx
limit as t approaches 1 of (t-1)/(t^2-1)	\lim\:_{t\to\:1}(\frac{t-1}{t^{2}-1})
derivative of (x^3)/3	derivative\:\frac{x^{3}}{3}
integral of cos((5x)/3)	\int\:\cos(\frac{5x}{3})dx
integral from 1 to 2 of (3-6/(x^2))	\int\:_{1}^{2}(3-\frac{6}{x^{2}})dx
tangent of f(x)=(1-2x)(1+2x),\at x=2	tangent\:f(x)=(1-2x)(1+2x),\at\:x=2
sum from n=1 to infinity of (3/8)^{n-1}	\sum\:_{n=1}^{\infty\:}(\frac{3}{8})^{n-1}
derivative of y=(x^2-2)/(2x+1)	derivative\:y=\frac{x^{2}-2}{2x+1}
integral from 0 to 2 of x-x^2	\int\:_{0}^{2}x-x^{2}dx
integral of sin^5(θ)cos(θ)	\int\:\sin^{5}(θ)\cos(θ)dθ
tangent of x^2y^2=16,(1,4)	tangent\:x^{2}y^{2}=16,(1,4)
(\partial)/(\partial x)(5-3x^2-y^2)	\frac{\partial\:}{\partial\:x}(5-3x^{2}-y^{2})
(dy)/(dx)-x^2y=0	\frac{dy}{dx}-x^{2}y=0
integral of x^7[0.7]	\int\:x^{7}[0.7]dx
derivative of sqrt(1-x)	derivative\:\sqrt{1-x}
derivative of sec(x*tan(x))	\frac{d}{dx}(\sec(x)\cdot\:\tan(x))
derivative of tan(3x^2)	derivative\:\tan(3x^{2})
derivative of log_{4}(x)	derivative\:\log_{4}(x)
limit as x approaches 0 of e^{-cot(x)}	\lim\:_{x\to\:0}(e^{-\cot(x)})
derivative of f(2)=3-x^2	derivative\:f(2)=3-x^{2}
derivative of f(x)= 2/(x^2)	derivative\:f(x)=\frac{2}{x^{2}}
integral from 1 to 3 of f(x)	\int\:_{1}^{3}f(x)dx
derivative of csc^2(2x-csc(2x^2))	\frac{d}{dx}(\csc^{2}(2x)-\csc(2x^{2}))
limit as x approaches 7 of (x^2)/x-49/7	\lim\:_{x\to\:7}(\frac{x^{2}}{x}-\frac{49}{7})
derivative of y=4x-6x^3+4/x	derivative\:y=4x-6x^{3}+\frac{4}{x}
(dy)/(dx)+y/x =x	\frac{dy}{dx}+\frac{y}{x}=x
derivative of 0.1(0.7n^2+9n+29)^{(1/2)}	derivative\:0.1(0.7n^{2}+9n+29)^{(\frac{1}{2})}
derivative of sqrt(5/x)	\frac{d}{dx}(\sqrt{\frac{5}{x}})
inverse oflaplace 89/2 s	inverselaplace\:\frac{89}{2}s
(e^{-1/x})^'	(e^{-\frac{1}{x}})^{\prime\:}
derivative of f(x)=(x^2+2x)^3(7x+1)^4	derivative\:f(x)=(x^{2}+2x)^{3}(7x+1)^{4}
(dy)/(dx)=-(sqrt(x))/(sqrt(y))	\frac{dy}{dx}=-\frac{\sqrt{x}}{\sqrt{y}}
derivative of 2sin(x+4cos(x)sin(x))	\frac{d}{dx}(2\sin(x)+4\cos(x)\sin(x))
integral of 1/((x^2)*sqrt(25x^2+16))	\int\:\frac{1}{(x^{2})\cdot\:\sqrt{25x^{2}+16}}dx
(\partial)/(\partial y)(xy+1)	\frac{\partial\:}{\partial\:y}(xy+1)
integral of 1/((x^3-8)^2)	\int\:\frac{1}{(x^{3}-8)^{2}}dx
integral of (sqrt(y^2-25))/y	\int\:\frac{\sqrt{y^{2}-25}}{y}dy
limit as x approaches 2-of 1/(x^3-2x^2)	\lim\:_{x\to\:2-}(\frac{1}{x^{3}-2x^{2}})
integral of xcos^2(2x)	\int\:x\cos^{2}(2x)dx
inverse oflaplace ((-1))/(s^2+5s+6)	inverselaplace\:\frac{(-1)}{s^{2}+5s+6}
derivative of f(x)=(3x-1)/(sqrt(x))	derivative\:f(x)=\frac{3x-1}{\sqrt{x}}
integral of (cos^5(x))/(sin^3(x))	\int\:\frac{\cos^{5}(x)}{\sin^{3}(x)}dx
integral from 0 to 0.6 of 1/((1-x)(3-x))	\int\:_{0}^{0.6}\frac{1}{(1-x)(3-x)}dx
integral of 1/(t^2sqrt(2-t^2))	\int\:\frac{1}{t^{2}\sqrt{2-t^{2}}}dt
derivative of ((cos(x)))/(cos^2(*x)-1)	derivative\:\frac{(\cos(x))}{\cos^{2}(\cdot\:x)-1}
integral of (n+3)3	\int\:(n+3)3dn
integral of 2/(e^x+2)	\int\:\frac{2}{e^{x}+2}dx
tangent of f(x)=(36x)/(x^2+36),\at x=-3	tangent\:f(x)=\frac{36x}{x^{2}+36},\at\:x=-3
integral of x/((1+x)^3)	\int\:\frac{x}{(1+x)^{3}}dx
(\partial)/(\partial x)(e^{3x}cos(4x))	\frac{\partial\:}{\partial\:x}(e^{3x}\cos(4x))
d/(dt)(3+3cos(t^3)-4sin(t^3))	\frac{d}{dt}(3+3\cos(t^{3})-4\sin(t^{3}))
derivative of x^{-10}	derivative\:x^{-10}
y^'+5y=2e^{(6*x)}	y^{\prime\:}+5y=2e^{(6\cdot\:x)}
(\partial)/(\partial z)(x^2yz-xyz^3)	\frac{\partial\:}{\partial\:z}(x^{2}yz-xyz^{3})
derivative of (y^4)/8	derivative\:\frac{y^{4}}{8}
integral of 1/((x+1)sqrt(x^2+2x))	\int\:\frac{1}{(x+1)\sqrt{x^{2}+2x}}dx
limit as x approaches 0+of x^{5sin(x)}	\lim\:_{x\to\:0+}(x^{5\sin(x)})

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