Calculus Examples. Popular Problems · Calculus. Find the Antiderivative e^(-4x). e−4x e - 4 x. Step 1. Write e−4x e - 4 x as a function. f(x)=e−4x f ( x ) = e - ...

10 мар. 2017 г. · 14e4x+C. Explanation: This will require a u-substitution. ∫e4xdx. Let u=4x du=4dx then 14du=dx. The integral becomes: 14∫eudu.

Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.

24 мая 2014 г. · The derivative of 4x is just 4 and the opposite of 4 is 1/4. This doesn't always work though and can yield some wrong answers.

Differentiate 4t 4 t . Since 4 4 is constant with respect to t t , the derivative of 4t 4 t with respect to t t is 4ddt[t] 4 d d t [ t ] .

27 июн. 2021 г. · Comments ; Find the Antiderivative (e^x +1)^4 e^x dx. Integrate. Ms Shaws Math Class · 22 views ; Understand Calculus in 10 Minutes. TabletClass ...

3 авг. 2016 г. · 14arctan(e2x2)+C . Explanation: Let, I=∫e2x4+e4xdx . We take subst. e2x=t⇒e2x⋅2dx=dt . Therefore, I=12∫2⋅e2x⋅dx4+(e2x) ...

13 янв. 2024 г. · Write e 4 x as a function. f ( x ) = e 4 x. The function F ( x ) can be found by finding the indefinite integral of the derivative.

13 авг. 2022 г. · The anti-derivative of e^x is e^x + C where C is some constant.

Now, the antiderivative rule of power of x is given by ∫xn dx = xn+1/(n + 1) + C, where n ≠ -1. This rule is commonly known as the antiderivative power rule.