What is the integral of 4\sqrt[3]{x}-cos(x) ?

The integral of 4\sqrt[3]{x}-cos(x) is 3x^{4/3}-sin(x)+C

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integral of 4\sqrt[3]{x}-cos(x)

3 x^{\frac{4}{3}} - sin (x) + C

Solution steps

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int cos (x) d x = sin (x)

= 3 x^{\frac{4}{3}} - sin (x)

Add a constant to the solution

= 3 x^{\frac{4}{3}} - sin (x) + C

What is the integral of 4\sqrt[3]{x}-cos(x) ?
The integral of 4\sqrt[3]{x}-cos(x) is 3x^{4/3}-sin(x)+C