Solve the integral 10 sin? 5x cos4 10x dx 8.

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Q: To solve the integral sin 60 v cos 60 d0, rewrite the integral as 2 sin 60 V cos 60 sin 60 d0. Use…

A: Use, sin2(t) + cos2(t) = 1         sin2(t) = 1 - cos2(t)

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A: The given question is taken from the above calculus in which we have to find the integral value so…

Q: Solve the integral 10 sin? 5x cos4 10x dx 8.

A: Given: ∫0π10 sin25x cos410x dxPut u = 5 x ⇒ du=5dxAppling product sum formula:sin ( x ) sin ( y ) =…

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A: Given integral is

Q: Solve the integral 10 sin? 5x cos4 10x dx 8. 0.

A: We are given the integral ∫0π10sin2(5x) cos4(10x) dxWe know that sin2(x) = 121-cos2xThis gives…

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A: since u have asked multiple question in single request so we will be answering only first question.

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Q: To solve the integral sin 70 V cos 70 de, rewrite the integral as 1. 2 sin 70 V cos 70 sin 70 d0.…

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Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

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Q: Find the indefinite integral. /. 3. sin 60 cos 60 de

A: To evaluate: I=∫sin36θcos 6θdθ =∫sin26θcos 6θ sin (6θ)dθ =∫(1-cos26θ)cos 6θ sin (6θ)dθ

Q: To solve the integral | sin 60 Vcos 60 de, rewrite the integral as 3 sin 60 V cos 60 sin 60 de. Use…

A: The given integral is ∫sin36θ cos6θ dθ. To solve the integral ∫sin36θ cos6θ dθ, rewrite the above…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.