antiderivative of sin 2 x Answer link 1 2 x 1 2sin2x C We re going to use the trig identity cos2theta 1 2sin 2theta implies sin 2x 1 2 1 cos2x So int sin 2xdx 1 2int 1 cos2x dx 1 2 x 1 2sin2x C
integrate x 1 pi 1 pi x from x 1 to inf sum x 1 pi 1 pi x from x 1 to inf 2 pi tan 2 1 plot abs sin x n Have a question about using Wolfram Alpha Step by step solution Alternate forms of the integral Series expansion of the integral at x 0 Big O notation Definite integral over a half period More digits Definite integral over a period More digits Definite integral mean square Download Page POWERED BY THE WOLFRAM LANGUAGE
antiderivative of sin 2 x
antiderivative of sin 2 x
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Ex 7 1 5 Find anti derivative Of Sin 2x 4 E 3x Chapter 7
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How Do You Integrate sinx 2 Dx Socratic
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Simplify Tap for more steps cos u 2 C cos u 2 C Replace all occurrences of u u with 2x 2 x cos 2x 2 C cos 2 x 2 C Reorder terms 1 2cos 2x C 1 2 cos 2 x C The answer is the antiderivative of the function f x sin 2x f x sin 2 x F x F x 1 2cos 2x C 1 2 cos 2 x C Find the Antiderivative sin x 2 sin2 x sin 2 x Write sin2 x sin 2 x as a function f x sin2 x f x sin 2 x The function F x F x can be found by finding the indefinite integral of the derivative f x f x F x f x dx F
Antiderivative of sin 2x Wolfram Alpha Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals Knowing the power rule of differentiation we conclude that F x x 2 is an antiderivative of f since F x 2x Are there any other antiderivatives of f Yes since the derivative of any constant C is zero x 2 C is also an antiderivative of 2x Therefore x 2 5 and x 2 sqrt 2 are also antiderivatives
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Derivative Of Sin 2x Formula Differentiation Of Sin 2x
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Solve each expression in the above function by implementing integral rules sin x dx cos x s i n x d x c o s x d dx sin x cos x x2dx x3 3 x 2 d x x 3 3 Power rule applied xdx x2 2 x d x x 2 2 Power rule applied Refer to the previous example F x x 2 e x f x e x x 2 2 x F x x 2 e x f x e x x 2 2 x 468 F x cos x f x sin x F x cos x f x sin x
What is the antiderivative of sin 2 x Solution The antiderivative of a function is the integral of the function To integrate sin 2 x dx we will use integration by part Also sin 2 x sin x sin x Let I sin 2 x dx I sin x sin x dx Using integration by part u v u vdx u vdx dx Knowing the power rule of differentiation we conclude that F x x 2 is an antiderivative of f since F x 2x Are there any other antiderivatives of f Yes since the derivative of any constant C is zero x 2 C is also an antiderivative of 2x Therefore x 2 5 and x 2 sqrt 2 are also antiderivatives
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antiderivative of sin 2 x - Antiderivative of sin 2x Wolfram Alpha Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals