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Popular Calculus Problems

integral of (sin(ax))/(sqrt(c+cos(ax)))	\int\:\frac{\sin(ax)}{\sqrt{c+\cos(ax)}}dx
derivative of 100xy	\frac{d}{dx}(100xy)
derivative of x^3*e^{-3x}	\frac{d}{dx}(x^{3}\cdot\:e^{-3x})
integral of ((x+2)/(x^2+4x))	\int\:(\frac{x+2}{x^{2}+4x})dx
integral of ((7^x))/(sqrt(1-7^{2x))}	\int\:\frac{(7^{x})}{\sqrt{1-7^{2x}}}dx
derivative of cos(a^7+x^7)	derivative\:\cos(a^{7}+x^{7})
integral of e^{-3}	\int\:e^{-3}dx
limit as x approaches pi/2 of cos(2x)	\lim\:_{x\to\:\frac{π}{2}}(\cos(2x))
integral from 0 to 10 of xsqrt(10-x)	\int\:_{0}^{10}x\sqrt{10-x}dx
derivative of y=(x^2+1)(x^2-2x)	derivative\:y=(x^{2}+1)(x^{2}-2x)
taylor ln(1-x^2)	taylor\:\ln(1-x^{2})
integral of (x^2+2x-3)	\int\:(x^{2}+2x-3)dx
integral from 0 to 1 of (1+12t)/(1+3t)	\int\:_{0}^{1}\frac{1+12t}{1+3t}dt
(-6sin(6x))^'	(-6\sin(6x))^{\prime\:}
derivative of 1/(8x+3)	\frac{d}{dx}(\frac{1}{8x+3})
integral of (-5e^x+4/x)	\int\:(-5e^{x}+\frac{4}{x})dx
derivative of ln((a-bx)/(a-cx))	derivative\:\ln(\frac{a-bx}{a-cx})
d/(dy)(xy^2)	\frac{d}{dy}(xy^{2})
integral of tsin(kt)	\int\:t\sin(kt)dt
integral of 1/(y^2sqrt(y^2+16))	\int\:\frac{1}{y^{2}\sqrt{y^{2}+16}}dy
integral of 1/(sqrt(x^2-5^2))	\int\:\frac{1}{\sqrt{x^{2}-5^{2}}}dx
integral of 1/2 xe^{-1/2 x}	\int\:\frac{1}{2}xe^{-\frac{1}{2}x}dx
derivative of 4x^{5/4}+10x^{3/2}+8x	derivative\:4x^{\frac{5}{4}}+10x^{\frac{3}{2}}+8x
limit as x approaches 0-of (1+x)^{1/(x^2)}	\lim\:_{x\to\:0-}((1+x)^{\frac{1}{x^{2}}})
integral of (x^2+2x)3^x	\int\:(x^{2}+2x)3^{x}dx
integral of 1+(2x^2+x+6)/((x^2-1)(x-2))	\int\:1+\frac{2x^{2}+x+6}{(x^{2}-1)(x-2)}dx
x^2y^{''}+2xy^'=0	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}=0
integral of x^4+2x^2+1	\int\:x^{4}+2x^{2}+1dx
integral of sin^2(2x)*cos(2x)	\int\:\sin^{2}(2x)\cdot\:\cos(2x)dx
tangent of f(x)= 1/x ,\at x=1.003	tangent\:f(x)=\frac{1}{x},\at\:x=1.003
derivative of x^5e^{2x}	derivative\:x^{5}e^{2x}
(\partial)/(\partial x)(e^{-3pit}cos(4x)sin(6y))	\frac{\partial\:}{\partial\:x}(e^{-3πt}\cos(4x)\sin(6y))
derivative of y=in(x)	derivative\:y=in(x)
integral from 0 to 9 of 1/((x-1)^{2/3)}	\int\:_{0}^{9}\frac{1}{(x-1)^{\frac{2}{3}}}dx
(\partial)/(\partial x)(e^{-2y}sin(3x))	\frac{\partial\:}{\partial\:x}(e^{-2y}\sin(3x))
integral of tec(2t)	\int\:tec(2t)dt
derivative of (x+1*(x^2-1))	\frac{d}{dx}((x+1)\cdot\:(x^{2}-1))
derivative of (x^2-3)/(x-2)	derivative\:\frac{x^{2}-3}{x-2}
integral from-1 to 6 of (2x+6)-(x^2-3x)	\int\:_{-1}^{6}(2x+6)-(x^{2}-3x)dx
integral of-((csc(x))^2)/(cot(x))	\int\:-\frac{(\csc(x))^{2}}{\cot(x)}dx
derivative of y=(5x^2-6x)^{-2}	derivative\:y=(5x^{2}-6x)^{-2}
integral of (sec(x)tan(x))/(sec(x)-6)	\int\:\frac{\sec(x)\tan(x)}{\sec(x)-6}dx
integral of x^2e^xsin(x)	\int\:x^{2}e^{x}\sin(x)dx
integral of 1/(x(x-3)^2)	\int\:\frac{1}{x(x-3)^{2}}dx
(\partial)/(\partial x)(xy+xe^{1/y})	\frac{\partial\:}{\partial\:x}(xy+xe^{\frac{1}{y}})
integral of sec^2(u)	\int\:\sec^{2}(u)du
integral of (32)/(x^2-64)	\int\:\frac{32}{x^{2}-64}dx
integral of ((ln(u))^4)/u	\int\:\frac{(\ln(u))^{4}}{u}du
integral of x^3cos(12x)	\int\:x^{3}\cos(12x)dx
limit as x approaches 0 of (x-1)/(x^2+1)	\lim\:_{x\to\:0}(\frac{x-1}{x^{2}+1})
integral from 2 to x of (t^3+8t-5)	\int\:_{2}^{x}(t^{3}+8t-5)dt
derivative of ae^xcos(x)	\frac{d}{dx}(ae^{x}\cos(x))
(\partial)/(\partial x)(((3x-3z))/(y+3z))	\frac{\partial\:}{\partial\:x}(\frac{(3x-3z)}{y+3z})
integral of 10xe^{3x^2-7}	\int\:10xe^{3x^{2}-7}dx
integral of 3cos(x)-2sin(x)	\int\:3\cos(x)-2\sin(x)dx
limit as x approaches pi of cos(5/3 x)	\lim\:_{x\to\:π}(\cos(\frac{5}{3}x))
derivative of (sqrt(x)-8)/(sqrt(x)+8)	derivative\:\frac{\sqrt{x}-8}{\sqrt{x}+8}
tangent of e^x+1,\at x=0	tangent\:e^{x}+1,\at\:x=0
integral of (3+2x)^{-3}	\int\:(3+2x)^{-3}dx
integral of 2x^3ln(x^2)	\int\:2x^{3}\ln(x^{2})dx
area y=3+2sqrt(x),y=(9+x)/3	area\:y=3+2\sqrt{x},y=\frac{9+x}{3}
derivative of a^{{f}(x(x^2)})	\frac{d}{dx}(a^{{f}(x)(x^{2})})
(\partial)/(\partial x)(e^y(y^2-x^2))	\frac{\partial\:}{\partial\:x}(e^{y}(y^{2}-x^{2}))
(tan(x))^'	(\tan(x))^{\prime\:}
tangent of y=-2x^3,(-2,16)	tangent\:y=-2x^{3},(-2,16)
limit as x approaches 0 of (1-2x)^{4/x}	\lim\:_{x\to\:0}((1-2x)^{\frac{4}{x}})
integral of (2y)/3	\int\:\frac{2y}{3}dy
integral of ((y-4))/(y^2-8y+10)	\int\:\frac{(y-4)}{y^{2}-8y+10}dy
tangent of f(x)= 5/(sqrt(x)),\at x=a	tangent\:f(x)=\frac{5}{\sqrt{x}},\at\:x=a
tangent of f(x)=x^4+4x^2-x,\at x=1	tangent\:f(x)=x^{4}+4x^{2}-x,\at\:x=1
integral of sin^5(7x)cos^2(7x)	\int\:\sin^{5}(7x)\cos^{2}(7x)dx
integral from-1 to 1 of (5x)/((4+x^2)^2)	\int\:_{-1}^{1}\frac{5x}{(4+x^{2})^{2}}dx
derivative of 2sqrt(x)-3\sqrt[3]{x}	\frac{d}{dx}(2\sqrt{x}-3\sqrt[3]{x})
integral of sinh(4x+6)	\int\:\sinh(4x+6)dx
derivative of asin(x+bcos(x))	\frac{d}{dx}(a\sin(x)+b\cos(x))
integral of (ln(x^7))/x	\int\:\frac{\ln(x^{7})}{x}dx
limit as h approaches 0 of h^2+h+1	\lim\:_{h\to\:0}(h^{2}+h+1)
area y=-x^2+8x,y=x^2-6x	area\:y=-x^{2}+8x,y=x^{2}-6x
derivative of (x^2-2x-1((x+1)/(x+3)))	\frac{d}{dx}((x^{2}-2x-1)(\frac{x+1}{x+3}))
integral of 1/((4-x)^2)	\int\:\frac{1}{(4-x)^{2}}dx
(y)dx-(x+sqrt(y^2-x^2))dy=0	(y)dx-(x+\sqrt{y^{2}-x^{2}})dy=0
integral of (54)/(1-cos(9x))	\int\:\frac{54}{1-\cos(9x)}dx
(sqrt(2x))^'	(\sqrt{2x})^{\prime\:}
(ln(cos(x)))^'	(\ln(\cos(x)))^{\prime\:}
limit as x approaches 3 of (x^2-5)/(x-3)	\lim\:_{x\to\:3}(\frac{x^{2}-5}{x-3})
limit as x approaches 0 of (4tan(x))/x	\lim\:_{x\to\:0}(\frac{4\tan(x)}{x})
derivative of 1/(e^{-x^2})	\frac{d}{dx}(\frac{1}{e^{-x^{2}}})
integral from-6 to 6 of 3x-4	\int\:_{-6}^{6}3x-4dx
y^'=y^2*cos(x)	y^{\prime\:}=y^{2}\cdot\:\cos(x)
derivative of (2x^2-7x+3)^4	derivative\:(2x^{2}-7x+3)^{4}
integral from 3 to 4 of 1/(x^2)	\int\:_{3}^{4}\frac{1}{x^{2}}dx
integral of x(1+1/x)^3	\int\:x(1+\frac{1}{x})^{3}dx
limit as x approaches+1 of ln(3)+e^x	\lim\:_{x\to\:+1}(\ln(3)+e^{x})
integral of (2x^2+24)/(x(x-2)^3)	\int\:\frac{2x^{2}+24}{x(x-2)^{3}}dx
derivative of-x^2-3x+4	\frac{d}{dx}(-x^{2}-3x+4)
integral of 1/(a^2-u^2)	\int\:\frac{1}{a^{2}-u^{2}}du
integral of 1/(x(2+x))	\int\:\frac{1}{x(2+x)}dx
θ^{''}+a/b*θ=0	θ^{\prime\:\prime\:}+\frac{a}{b}\cdot\:θ=0
derivative of f(x)=xe^{4x+sin(x)-10}	derivative\:f(x)=xe^{4x+\sin(x)-10}
(\partial)/(\partial x)(2e^{xyz}sin(xw))	\frac{\partial\:}{\partial\:x}(2e^{xyz}\sin(xw))

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