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Type your math problem... int4n_21

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Question

Evaluate the integral

2 n_{2}^{2} + C, C \in R

Evaluate

\int 4 n_{2} \times 1 d n_{2}

Multiply the terms

\int 4 n_{2} d n_{2}

Use the property of integral \int k f (x) d x = k \int f (x) d x

4 \times \int n_{2} d n_{2}

Use the property of integral \int x^{n} d x = \frac{x ^{n + 1}}{n + 1}

4 \times \frac{n _{2}^{1 + 1}}{1 + 1}

Simplify

More Steps

Evaluate

\frac{n _{2}^{1 + 1}}{1 + 1}

Add the numbers

\frac{n _{2}^{2}}{1 + 1}

Add the numbers

\frac{n _{2}^{2}}{2}

4 \times \frac{n _{2}^{2}}{2}

Cancel out the common factor 2

2 n_{2}^{2}

Solution

2 n_{2}^{2} + C, C \in R

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