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integral of sin(4x) - Integral Calculator

source : symbolab.com

integral of sin(4x) – Integral Calculator

\mathrm{partial\:fractions}

\mathrm{substitution}

\mathrm{long\:division}

\mathrm{trigonometric\:substitution}

\mathrm{by\:parts}

Ex 7.3, 7 - Integrate sin 4x sin 8x - Chapter 7 Class 12

Ex 7.3, 7 – Integrate sin 4x sin 8x – Chapter 7 Class 12 – Transcript. Ex 7.3, 7 4 sin 8 sin 4 sin 8 We know that 2 = + + = 1 2 + + Replace A by 4 & B by 8 sin 4 sin 8 = 1 2 cos 4 +8 + cos 4 8 sin 4 sin 8 = 1 2 cos 12 + cos 4$$-64\sin^6t=(2i\sin t)^6=(e^{it}-e^{-it})^6=2\cos6t-2\binom61\cos4t+2\binom62\cos2t-2\binom63$$ and $16\cos^4t=(2\cos t)^4=(e^{it}+e^{-it})^4=?$ Now use Werner Formulas, to find the integrals of the form $$\int x\cos mt\ dt$$ and $$\int x\sin mt\ dt$$Integration by parts twice: u = sin(4x) du = 4cos(4x) dx. dv = e^(2x) dx. v = 1/2e^(2x) ∫ u dv = uv – ∫ v du ∫ e^(2x)sin(4x) dx = 1/2sin(4x)e^(2x) – ∫ 1/2e

calculus – Integration of $x\sin^6x \cos^4x$ – Mathematics – Yahoo Answers is shutting down on 4 May 2021 (Eastern Time) and, as of 20 April 2021 (Eastern Time), the Yahoo Answers website will be in read-only mode.The following is a list of integrals (antiderivative functions) of trigonometric functions.For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions.For a complete list of antiderivative functions, see Lists of integrals.For the special antiderivatives involving trigonometric functions, see Trigonometric integral.The power of the sine term is odd, so we rewrite \(\sin^5x\) as \[\sin^5x = \sin^4x\sin x = (\sin^2x)^2\sin x = (1-\cos^2x)^2\sin x. \nonumber \] Our integral is now \( \int (1-\cos^2x)^2\cos^8x\sin x\ dx\). Let \(u = \cos x\), hence \(du = -\sin x\ dx\). Making the substitution and expanding the integrand gives

calculus - Integration of $x\sin^6x \cos^4x$ - Mathematics

Integral of e^(2x) sin(4x) dx? | Yahoo Answers – Evaluate integral of sin(4x) with respect to x. Let . Then , so . Rewrite using and . Tap for more steps… Let . Find . Tap for more steps… Rewrite. Divide by . Rewrite the problem using and . Combine and . Since is constant with respect to , move out of the integral. The integral of with respect to is . Simplify.To integrate sin^34x, also written as ∫sin 3 4x dx, sin cubed 4x, sin^3(4x), and (sin 4x)^3, we start by using standard trig identities to simplify the integral.. We factor out one of the sin4x terms, and therefore the integration remains the same, except that we now have a sin squared term.This calculus video tutorial explains how to find the integral of sin^4x using the power reducing formulas and pythagorean identities found in trigonometry.

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