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Popular >

integral of x^3+7

Solution

\int x^{3} + 7 d x

Solution

\frac{x ^{4}}{4} + 7 x + C

Solution steps

\int x^{3} + 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 x^{3} d x + \int 7 d x

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

\int 7 d x = 7 x

= \frac{x ^{4}}{4} + 7 x

Add a constant to the solution

= \frac{x ^{4}}{4} + 7 x + C

Graph

Popular Examples

integral of ((x^2))/4

\int \frac{( x ^{2} )}{4} d x

integral of (12x^{11})/(x^{12)+1}

\int \frac{12 x ^{11}}{x ^{12} + 1} d x

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\int cos (y) d y

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\int x - x cos (x) d x

integral of (sqrt(7+2tan(x)))/(cos^2(x))

\int \frac{7 + 2 tan ( x )}{cos ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^3+7 ?
The integral of x^3+7 is (x^4)/4+7x+C