Nettet1. mai 2024 · How do you find the integral of t3e−t2 ? Calculus Techniques of Integration Integration by Parts 1 Answer Shwetank Mauria May 1, 2024 ∫t3e−t2dt = − 1 2e−t2(t2 + 1) + c, where c is a constant Explanation: Let t2 = x, then 2tdt = dx and ∫t3e−t2dt = 1 2 ∫xe−xdx Now let us use integration by parts, which states that Nettet2. feb. 2024 · Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g(r) = ∫r 0√x2 + 4dx. Hint Answer Example 5.3.4: Using the Fundamental Theorem and the Chain Rule to Calculate Derivatives Let F(x) = ∫√x 1 sintdt. Find F′ (x). Solution Letting u(x) = √x, we have F(x) = ∫u ( x) 1 sintdt.
Answered: Evaluate the integral. 1 dt t3 V2 -4 bartleby
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calculus - Prove: $\int_0^\infty \sin (x^2) \, dx$ converges ...
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