3x³ – 2x -dx x - 1 10.

Q: 12 dr r3 – I

A:

Q: x +10x dx 6x+25 x +

A:

Q: sec? x dx 11. V50 – sec? x

A:

Q: tegral to be solved by Integration by Parts (2 possible ways - you only have to show 1 way) and…

A:

Q: sec? x etanx dx 8. V1 + etanx

A: Let us assume:u=1+etanxdu=0+etanx·d(tanx)du=sec2x·etanxdx

Q: I do not understand, do I need to take the integrals or just follow your your formula? I don't know…

A: Given probability distribution function: - f(x) = 116x2e-x/2,           x>0

Q: Evaluate the indefinite integral. 9x xp- x² – 4

A:

Q: Please do STEP BY STEP in detail. Thanku

A: Given the integral ∫dy-y-1+2ey. The objective is to evaluate the integral.

Q: 3 +9 -dx

A: ∫x34+9x14 dx Now put, x34+9=tDifferentiating with respect to x, we get⇒34x34-1+0=dtdx…

Q: dx 3x? — 10х + 15

A: Let I be the integration that we need to find.

Q: sin? cos3 xdx

A:

Q: 1 dx V25-x²

A:

Q: TT 2 2 36. f(csc²x 0 2 cot x) dx

A:

Q: 1 14.) Evaluate the following definite integral: √x+1 dx

A: Given integral is ∫0113x+1dx Put t=3x+1. Then dt = 3dx.  If x=0 then t=1 If x=1 then t=4 So, the…

Q: (x² – 3)(x² + 2) 3. dx

A: We need to evaluate ∫(x2-3)(x2+2)x3dx = ∫x4-3x2+2x2-6x13dx= ∫x4-x2-6x13dx= ∫x4-13-x2-13-6x-13 dx=…

Q: 5.) Evaluate the indefinite integral: tan³5x sec²5x dx

A:

Q: L -1 26. x100 dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: 6. Indefinite integral of 1 do sec 30

A: To integrate (1/sec3theta) d(theta)

Q: arning Managemen × Quiz: Exam 3-Canvas canvas.tamu.edu/courses/297503/quizzes/507330/take Write the…

A: Just used two properties of definite integral, expansion or split of the integral in case of…

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.