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Popular >

integral of x^6+1

Solution

\int x^{6} + 1 d x

Solution

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

Solution steps

\int x^{6} + 1 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^{6} d x + \int 1 d x

\int x^{6} d x = \frac{x ^{7}}{7}

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of ((4x^3+6x))/((x^4+3x^2+1)^8)

\int \frac{( 4 x ^{3} + 6 x )}{( x ^{4} + 3 x ^{2} + 1 ) ^{8}} d x

integral of 4/(sqrt(4-25x^2))

\int \frac{4}{4 - 25 x ^{2}} d x

integral of e^2sin^2(x)

\int e^{2} sin^{2} (x) d x

integral of (5x-3)/(x^2+4x+3)

\int \frac{5 x - 3}{x ^{2} + 4 x + 3} d x

integral of x*4^x

\int x \cdot 4^{x} d x

Frequently Asked Questions (FAQ)

What is the integral of x^6+1 ?
The integral of x^6+1 is (x^7)/7+x+C