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Popular >

integral of e^4x-3

Solution

integral

e^{4} x - 3

Solution

\frac{e ^{4} x ^{2}}{2} - 3 x + C

Solution steps

\int e^{4} x - 3 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^{4} x d x - \int 3 d x

\int e^{4} x d x = \frac{e ^{4} x ^{2}}{2}

\int 3 d x = 3 x

= \frac{e ^{4} x ^{2}}{2} - 3 x

Add a constant to the solution

= \frac{e ^{4} x ^{2}}{2} - 3 x + C

Popular Examples

integral of 1^{22}x*sqrt(x^2-11)integral

1^{22} x \cdot x^{2} - 11

f(x)=x^3(3x^5-10)^{11}

f (x) = x^{3} (3 x^{5} - 10)^{11}

integral of x/(a^2)integral

\frac{x}{a ^{2}}

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

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

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

\frac{4 x}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the integral of e^4x-3 ?
The integral of e^4x-3 is (e^4x^2)/2-3x+C