Find y from dy/dx equals 2x
Difficulty: ★☆☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=2x\).
Find y from dy/dx equals x to the power 7
Difficulty: ★☆☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=x^7\).
Find y from dy/dx equals 3x squared
Difficulty: ★☆☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=3x^2\).
Find y from a constant derivative
Difficulty: ★☆☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=-15\).
Find y from dy/dx equals x minus x cubed
Difficulty: ★★☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=x-x^3\).
Find y from a sum of powers
Difficulty: ★★☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=10x+8x^7\).
Find y from a linear expression
Difficulty: ★★☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=5-\dfrac{1}{2}x\).
Find y from a product
Difficulty: ★★☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=x(x^4-6)\).
Find y from the square root of x
Difficulty: ★☆☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=\sqrt{x}\).
Find y from a squared bracket
Difficulty: ★★☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=(2x-3)^2\).
Find y from a simplified fraction
Difficulty: ★★☆Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=\dfrac{2x^5+7x}{x}\).
Find y from negative powers of x
Difficulty: ★★★Find \(y\) in terms of \(x\) if \(\dfrac{dy}{dx}=\dfrac{12}{x^2}-\dfrac{6}{x^3}\).
Find a function from its derivative
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=\dfrac{9}{8}x^{1/2}\).
Find a function from f prime equals minus 2x
Difficulty: ★☆☆Find \(f(x)\) if \(f\,\!'(x)=-2x\).
Find a function from root x over 3
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=\dfrac{\sqrt{x}}{3}\).
Find a function from 12x to the power 5
Difficulty: ★☆☆Find \(f(x)\) if \(f\,\!'(x)=12x^5\).
Find a function from 3 minus x minus 2x to the power 5
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=3-x-2x^5\).
Find a function from a squared expression
Difficulty: ★★★Find \(f(x)\) if \(f\,\!'(x)=\left(\dfrac{1}{x^2}+5\right)^2\).
Find a function from 4 over cube root x
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=\dfrac{4}{\sqrt[3]{x}}\).
Find a function from a simplified quotient
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=\dfrac{24x^3-8x}{x}\).
Find a function from a product of brackets
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=(x-4)(x+7)\).
Find a function from a constant derivative negative five over six
Difficulty: ★☆☆Find \(f(x)\) if \(f\,\!'(x)=-\dfrac{5}{6}\).
Find a function from x squared plus x to minus 2
Difficulty: ★★☆Find \(f(x)\) if \(f\,\!'(x)=x^2+x^{-2}\).
Find a function from a quotient with x squared
Difficulty: ★★★Find \(f(x)\) if \(f\,\!'(x)=\dfrac{14x^8-3}{x^2}\).
Integrate 6x
Difficulty: ★☆☆Find \(\int 6x\,dx\).
Integrate 4x plus 1
Difficulty: ★☆☆Find \(\int (4x+1)\,dx\).
Integrate 4x to the minus one half
Difficulty: ★★☆Find \(\int 4x^{-1/2}\,dx\).
Integrate 7x to the minus 8
Difficulty: ★★☆Find \(\int 7x^{-8}\,dx\).
Integrate a squared bracket
Difficulty: ★★☆Find \(\int (x+4)^2\,dx\).
Integrate four thirds x to the minus four thirds
Difficulty: ★★★Find \(\int \dfrac{4x^{-4/3}}{3}\,dx\).
Integrate 9 minus 6x
Difficulty: ★☆☆Find \(\int (9-6x)\,dx\).
Integrate a quotient by simplifying first
Difficulty: ★★☆Find \(\int \dfrac{2x+5x^3}{x}\,dx\).
Integrate 2x times 1 minus x squared
Difficulty: ★★★Find \(\int 2x(1-x)^2\,dx\).
Integrate a squared numerator over root x
Difficulty: ★★★Find \(\int \dfrac{(2x+1)^2}{\sqrt{x}}\,dx\).
Integrate three over root x minus root x cubed
Difficulty: ★★★Find \(\int \left(\dfrac{3}{\sqrt{x}}-\sqrt{x^3}\right)dx\).
Integrate root x minus bracket root x plus 5 squared
Difficulty: ★★★Find \(\int \left(\sqrt{x}-(\sqrt{x}+5)^2\right)dx\).