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Popular >

integral of e^x+6x^5

Solution

\int e^{x} + 6 x^{5} d x

Solution

e^{x} + x^{6} + C

Solution steps

\int e^{x} + 6 x^{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 e^{x} d x + \int 6 x^{5} d x

\int e^{x} d x = e^{x}

\int 6 x^{5} d x = x^{6}

= e^{x} + x^{6}

Add a constant to the solution

= e^{x} + x^{6} + C

Popular Examples

integral of cos^2(μt)

\int cos^{2} (μ t) d t

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\int cos^{3} (2 x) \cdot sin (2 x) d x

integral of (x^5-sec^2(x))

\int (x^{5} - sec^{2} (x)) d x

integral of (x-3/x)^2

\int (x - \frac{3}{x})^{2} d x

integral of ln((x^2)^2)x^2)^2

\int ln ((x^{2})^{2}) d (x^{2})^{2}

Frequently Asked Questions (FAQ)

What is the integral of e^x+6x^5 ?
The integral of e^x+6x^5 is e^x+x^6+C