dx The substitution Z =tan transformed the integral expression J 5sin(x) – 12cos(x)+ 13 into Determine the value of f(z) if z= 0.92.

Q: 2dx J x (3(ln x)2 + 12 ln a – 15) -

A: Answer

Q: Find a counterexample to show that x > is a false statement. 3z a. Choose a =1 b. Choose a = 6 O c.…

A: Here the given statement is, x>13x

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A: Trigonometric identities help to find the simplified form of the given trigonometric expression.…

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A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: (ii) Evaluate the definite integral r³e² dr.

A:

Q: 2. Determine the following: F +(16x)| dx X5 С. + (16x)a| dx x2 d. [[tan(2x – 5) + 8e-*]dx

A: Given integration

Q: 1 Evaluate the equation /o x² sin (xy)dydx

A:

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.