The value of the integral (x–1)* sin (x 1) (x-1) +cos (x-1) is

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A: To prove that,3 sinx-4 sin3x=sin3x

Q: Determine the order of the zero at the origin of f(x) = ² (cos(z) - 1 + sin² (2))

A:

Q: Compute the definite integral T/4 0 5 sin² (3x) dx

A: Sol:- ∫0π45sin23xdxTake the constant out:  ∫a·fxdx=a·∫fxdx=5·∫0π4sin23xdx=5·∫0π4121-cos6xdxTake the…

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

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A: Given : ∫x6sinx7+2dx

Q: Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Do not…

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Q: Evaluate 4x cos(2-3x) dx

A: Given: The objective is to evaluate ∫4xcos2-3xdx.

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Prove that d/dx [cos x] = −sin x.

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Q: Find a sin²(x) dr. 16 +1 R

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