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Popular >

integral of 3x^3-5

Solution

\int 3 x^{3} - 5 d x

Solution

\frac{3 x ^{4}}{4} - 5 x + C

Solution steps

\int 3 x^{3} - 5 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 3 x^{3} d x - \int 5 d x

\int 3 x^{3} d x = \frac{3 x ^{4}}{4}

\int 5 d x = 5 x

= \frac{3 x ^{4}}{4} - 5 x

Add a constant to the solution

= \frac{3 x ^{4}}{4} - 5 x + C

Popular Examples

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integral of 3/(u^2)

\int \frac{3}{u ^{2}} d u

integral of cos^2(20x)

\int cos^{2} (20 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^3-5 ?
The integral of 3x^3-5 is (3x^4)/4-5x+C