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Antiderivative rules are some of the important rules to find the antiderivatives of different forms of combinations of a function. We can use these antiderivative rules to find the antiderivatives of product, quotient, sum, difference, scalar multiple, and composition of functions.
Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
Let f and g be two functions defined on an interval I. Let F and G be respectively antiderivatives of f and g on I. Let k be a constant.
To evaluate a definite integral b ∫ af(t)dt, we can find any antiderivative F(t) of f(t) and evaluate F(b) − F(a). The problem of finding the exact value of a definite integral reduces to finding some (any) antiderivative F of the integrand and then evaluating F(b) − F(a).
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.
Use the given recursive formula to evaluate ⌡⌠ sin3(5x) dx . In this example n = 3 and a = 5. Then. cos3(7x) dx . Use the integral table for the following problems. dx .
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.
