NettetThe integral of e to the 2x is e 2x /2 + C. This is mathematically written as ∫ e2x dx = e2x/2 + C. Here, '∫' is the symbol of integration. e 2x that is next to dx is the integrand. C is the … NettetLearn how to solve integral calculus problems step by step online. Find the integral of x^21/2x. Find the integral. When multiplying exponents with same base you can add the exponents: \frac{1}{2}x^2x. The integral of a function times a constant (\frac{1}{2}) is equal to the constant times the integral of the function. Apply the power rule for integration, …

Integral - Wikipedia

Nettet13. apr. 2024 · In this video I will teach you how to use integration by substitution to find the integral of e^0.5x (otherwise known as e^1/2x). This is a useful worked example to … NettetAs amin discovered, you're dealing with a special function called the exponential integral, defined as the integral Ei(x) = ∫x − ∞eu u du. The exponential integral is an antiderivative of ex / x. Specifically, it's the antiderivative that goes to zero at − ∞. boys activewear outfits

Evaluate the Integral integral of e^(1/2x) with respect to x - Mathway

NettetSolution Verified by Toppr Solve:- ∫ 1−e 2x1 dx =∫ 1− e −2x11 dx =∫ e −2xe −2x−11 dx = e −2x e −2x−11 dx =∫ e −2x−1e −xdx =∫ (e −x) 2−1e −xdx let e −x=t on differentiation and we get, −e −xdx=dt =∫ t 2−1dt on integration and we get, =ln ∣∣∣t+ t 2−1∣∣∣+c tacking t−e −x and we get, =ln ∣∣∣e −x+ e −2x−1∣∣∣+c ∫ 1−e 2x1 dx=ln ∣∣∣e −2x−1 ∣∣∣+c NettetQuestion: Find the line integral of \( f(x, y, z)=x+y+z \) over the straight-line segment from \( (1,2,4) \) to \( (0,-1,2) \). \[ \int_{C}(x+y+z) d s= \] (Type an ... NettetWolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram Alpha Integral Calculator … gwendy lenclume