What is the integral of 2x+3x^{1.7} ?

The integral of 2x+3x^{1.7} is x^2+1.11111…x^{2.7}+C

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integral of 2x+3x^{1.7}

\int 2 x + 3 x^{1.7} d x

x^{2} + 1.11111 \dots x^{2.7} + C

Solution steps

\int 2 x + 3 x^{1.7} d x

Apply the Sum Rule:

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

= \int 2 x d x + \int 3 x^{1.7} d x

\int 2 x d x = x^{2}

\int 3 x^{1.7} d x = 1.11111 \dots x^{2.7}

= x^{2} + 1.11111 \dots x^{2.7}

Add a constant to the solution

= x^{2} + 1.11111 \dots x^{2.7} + C

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What is the integral of 2x+3x^{1.7} ?
The integral of 2x+3x^{1.7} is x^2+1.11111…x^{2.7}+C