(main)[4]
Find the equation that corresponds to the curve.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
For the curve, $\frac{dy}{dx} = 3\sqrt{4x - 7} - 4x^{-\frac{1}{2}}$, and it is known to pass through the point $(4, \frac{5}{2})$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrates each term separately and obtains an expression in the form $y=\frac{3}{6}(4x-7)^{\frac{3}{2}}-8x^{\frac{1}{2}}+c$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI