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Popular >

integral of e^t+1

Solution

\int e^{t} + 1 d t

Solution

e^{t} + t + C

Solution steps

\int e^{t} + 1 d t

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^{t} d t + \int 1 d t

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

\int 1 d t = t

= e^{t} + t

Add a constant to the solution

= e^{t} + t + C

Popular Examples

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\int \frac{1 + cos ^{2} ( θ )}{cos ^{2} ( θ )} d θ

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

integral of (xe^{-x})/((1+e^{-x))^2}

\int \frac{x e ^{- x}}{( 1 + e ^{- x} ) ^{2}} d x

integral of 1/(xsqrt(5x^2-4))

\int \frac{1}{x 5 x ^{2} - 4} d x

integral of (5e^{4x})/(sqrt(e^{4x)+3)}

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

Frequently Asked Questions (FAQ)

What is the integral of e^t+1 ?
The integral of e^t+1 is e^t+t+C