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Popular >

integral of-e^{-t}+2

Solution

\int - e^{- t} + 2 d t

Solution

e^{- t} + 2 t + C

Solution steps

\int - e^{- t} + 2 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 2 d t

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

\int 2 d t = 2 t

= - (- e^{- t}) + 2 t

Simplify

= e^{- t} + 2 t

Add a constant to the solution

= e^{- t} + 2 t + C

Popular Examples

integral of 2x^2e^{4x}

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

integral of x^4sqrt(2+x^5)

\int x^{4} 2 + x^{5} d x

integral of (cos(3x))/(sqrt(5+6sin(3x)))

\int \frac{cos ( 3 x )}{5 + 6 sin ( 3 x )} d x

integral of sec^2(5x)2^{tan(5x)}

\int sec^{2} (5 x) 2^{t a n (5 x)} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of-e^{-t}+2 ?
The integral of-e^{-t}+2 is e^{-t}+2t+C