Problem Evaluate $\displaystyle \int \dfrac{(6z - 1) \, dz}{\sqrt{(2z + 1)^3}}$
Problem Evaluate $\displaystyle \int \dfrac{y \, dy}{\sqrt[4]{1 + 2y}}$
Answer Key
Problem Evaluate $\displaystyle \int \dfrac{x^3 \, dx}{(x^2 + 1)^3}$
Problem Evaluate $\displaystyle \int y^3\sqrt{2y^2 + 1} \,\, dy$
Problem Evaluate $\displaystyle \int_0^1 \dfrac{x \, dx}{x^2 + 2}$.
Problem Evaluate $\displaystyle \int_0^9 \dfrac{1}{\sqrt{1 + \sqrt{x}}}$
Problem What is the perimeter of the curve r = 4(1 + sin θ)?
The answer is 32 units. For detailed solution, follow the link by clicking on the figure.
Problem Integrate $\displaystyle \int \dfrac{dx}{\sqrt[7]{x^2}}$.
Problem Evaluate $\displaystyle \int \sqrt{ax + b} ~ dx$.
Problem Evaluate $\displaystyle \int \left( \sqrt{x} + x\sqrt{x} + \dfrac{1}{\sqrt{x}} \right) \, dx$
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