Nettet13. mar. 2024 · ∫sin 5 x cos x dx . indefinite integral; class-12; Share It On Facebook Twitter Email. 1 Answer +1 vote . answered Mar 13, 2024 by ... Evaluate the following integrals: ∫sin^5x dx. asked May 10, 2024 in Indefinite Integral by rahul01 (29.3k points) indefinite integral; class-12; NettetFind the integral of the function sin 2(2x+5) Easy Solution Verified by Toppr Consider the given integral. I=∫sin 2(2x+5)dx Let t=2x+5 dxdt=2+0 2dt=dx Therefore, I= 21∫sin 2(t)dt I= 41∫(1−cos2t)dt I= 41[t− 2sin2t]+C On putting the value of t, we get I= 41[2x+5− 2sin2(2x+5)]+C I= 41[2x+5− 2sin(4x+10)]+C Hence, this is the answer.
Integral Calculator : (sin(x))^5 - numberempire.com
Nettet5. okt. 2024 · We can prove that the integral of sin x is -cos x + C using the substitution method. Y is assumed to equal sin x in this case. Then DY/DX = = cos x (or) dy = cos x dx. According to trigonometric identities, cos x = √1 – sin²x. Then the above equation becomes, dy = √1 – sin²x dx. dy = √1 – y² dx. dy / √1 – y² = dx. Nettetintegral sin(x)/x. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & … meredith andrews come thou long expected
7.2: Trigonometric Integrals - Mathematics LibreTexts
NettetLearn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/(5-sin(x)))dx. We can solve the integral \int\frac{1}{5 … NettetWe can solve the integral \int x\left(1-\cos\left(2x\right)\right)dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the … Nettet25. aug. 2016 · # sin^5x*cos^7x = sin^4x cos^7x sinx = (1-cos^2 x)^2cos^7x sin x# #=(1-2cos^2x+cos^4 x)cos^7 x sin x # #=(cos^7x-2 cos^9 x+cos^11 x)sinx# so. #int sin^5x*cos^7x dx = int (cos^7x-2 cos^9 x+cos^11 x)sinx dx# #=-(1/8cos^8 x-2/10 cos^10 x + 1/12 cos^12 x) + C#. or simplifying #-1/480(27 - 28 cos(2 x) + 5 cos(4 x)) cos^8x# meredith andrews bermuda