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Popular >

integral of e^3x+1

Solution

integral

e^{3} x + 1

Solution

\frac{e ^{3} x ^{2}}{2} + x + C

Solution steps

\int e^{3} x + 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 e^{3} x d x + \int 1 d x

\int e^{3} x d x = \frac{e ^{3} x ^{2}}{2}

\int 1 d x = x

= \frac{e ^{3} x ^{2}}{2} + x

Add a constant to the solution

= \frac{e ^{3} x ^{2}}{2} + x + C

Graph

Popular Examples

integral of e^3x+2 integral

e^{3} x + 2

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

\frac{( x ^{4} + x ^{2} )}{( x ^{3} - 1 )}

integral of ((1+v^2))/(v^3)integral

\frac{( 1 + v ^{2} )}{v ^{3}}

integral of (x^3)/((1+x^2)^{1/2)}integral

\frac{x ^{3}}{( 1 + x ^{2} ) ^{\frac{1}{2}}}

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

\frac{5}{( 3 + 4 x ^{2} )}

Frequently Asked Questions (FAQ)

What is the integral of e^3x+1 ?
The integral of e^3x+1 is (e^3x^2)/2+x+C