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Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
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The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration).
4.10.1 Find the general antiderivative of a given function. 4.10.2 Explain the terms and notation used for an indefinite integral. 4.10.3 State the power rule for integrals. 4.10.4 Use antidifferentiation to solve simple initial-value problems.
Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use antidifferentiation to solve simple initial-value problems.
Sketch two possible anti-derivatives of g(x). What does this Re-sketch the earlier anti-derivative graph of sin(x), find the area underneath one “arch” of the sine graph. F (0) = 2. f (x) is a continuous function, and f (0) = 1. is shown below.
Find the general antiderivative of a given function. Explain the terms and notation used for an indefinite integral. State the power rule for integrals. Use antidifferentiation to solve simple initial-value problems.
24 Νοε 2021 · \begin{align*} f(x) &= \sin x + \cos 2x & g(x) &= \frac{1}{1+4x^2} \end{align*} Find their antiderivatives. Solution The first one we can almost just look up our table. Let \(F\) be the antiderivative of \(f\text{,}\) then \begin{align*} F(x) &= -\cos x + \sin 2x + c & \text{is not quite right}. \end{align*}
