NettetDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin … Nettet15. nov. 2024 · Solution: Step 1: Write root x by the rule of indices. x = x 1 / 2 So we have ∫ x d x = ∫ x 1 / 2 d x ⋯ ( i) Step 2: Use the following power rule formula of integration: ∫ x n d x = x n + 1 n + 1 + c where n is any real number. Applying this formula to (i), we obtain that ∫ x d x = ∫ x 1 / 2 d x = x 1 / 2 + 1 1 / 2 + 1 + c
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NettetSolution L e t I = ∫ ( sin x x) d x L e t x = t 1 x = d t d x 1 x d x = 2 d t ∴ I = 2 ∫ sin t d t = - 2 cos t + C = - 2 cos ( x) + C Concept: Evaluation of Definite Integrals by Substitution Is there an error in this question or solution? 2016-2024 (March) Q 4.2.3 Q 4.2.2 Q 4.2.4 APPEARS IN 2016-2024 (March) (with solutions) Q 4.2.3 2 marks Nettet11. des. 2014 · 1 Answer Wataru Dec 11, 2014 ∫√xdx by rewriting the square-root as the 1/2-power, = ∫x1 2dx by Power Rule, = x3 2 3 2 + C by cleaning up a bit, = 2 3 x3 2 +C I hope that this was helpful. Answer link glenfield mall phone repair
How do I integrate $e^\\sqrt{x}$, using the substitution …
Nettet23. apr. 2024 · ∫e^x/√(1 + e^x) dx is ..... . (a) e^x/√(1 + e^x) + c (b) 2√(1 + e^x) + c (c) √(1 + e^x) + c (d) ex √(1 + e^x) + c. asked Aug 14, 2024 in Integral Calculus I by Amrita01 (49.7k points) ... Integrate 9 cosec^2(px – q) – 6(1 – x)^4 + 4e^3 - 4x. asked Oct 6, 2024 in Integral Calculus by Anjali01 (48.2k points) Nettetfor 1 dag siden · Key Considerations for Evaluating Kubernetes Cloud Providers. An open source container orchestration tool, Kubernetes automates the deployment, scaling and management of containerized applications. This simplifies application management across different environments, both on-premises and in the cloud. While it’s possible for an … glenfield mod 20 clip