Solve \int \frac{4 x^3 3 x^2- x 1}{x^4 x^3} dx

Question

Evaluate the integral

Evaluate using formulas and rules

\frac{1}{5 x ^{5}} - \frac{12}{x} + C, C \in R

Evaluate

\int \frac{4 x ^{3} \times 3 x ^{2} - x \times 1}{x ^{4} \times x ^{3}} d x

Multiply

More Steps

\int \frac{12 x ^{5} - x \times 1}{x ^{4} \times x ^{3}} d x

Any expression multiplied by 1 remains the same

\int \frac{12 x ^{5} - x}{x ^{4} \times x ^{3}} d x

Multiply the terms

More Steps

\int \frac{12 x ^{5} - x}{x ^{7}} d x

Simplify the expression

\int \frac{12 x ^{4} - 1}{x ^{6}} d x

Rewrite the fraction

More Steps

\int (- \frac{1}{x ^{6}} + \frac{12}{x ^{2}}) d x

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

\int - \frac{1}{x ^{6}} d x + \int \frac{12}{x ^{2}} d x

Evaluate the integral

More Steps

\frac{1}{5 x ^{5}} + \int \frac{12}{x ^{2}} d x

Evaluate the integral

More Steps

\frac{1}{5 x ^{5}} - \frac{12}{x}

Solution

\frac{1}{5 x ^{5}} - \frac{12}{x} + C, C \in R

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