25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

Q: Calcula te Y Sin X dX ,n=Lo by SimPSon rule

A:

Q: r sin(T|2² - 1) cos² (7|2² - 11) da -3

A: To find the following definite integral.

Q: 57. Use Eq. (5) to find sin x dx.

A:

Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

A:

Q: 26. Use the FTC and IBP to solve the definite integral: [². a sec² (2x) dx =

A: We have to evaluate the integral. Fundamental theorem of calculus (FTC) :   If a function f is…

Q: 6. cos-1 Vx dx

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Q: 5x sinx dx = %3D

A:

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: 3. Find each definite integral: A. S(x- 3x) dx | -1 B. ( 2cosx + 2sinx dx

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Q: 3 sinº x dx 4 Show that

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Q: da Vx(1+ x) 1. 8.

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Q: Use Trigonometric Substitutions dx 1. xVx +16 x*dx (x² – 1)"2 2. 3/2

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Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: 13) Calculate definite integral. Give answer as a fraction in lowest terms (x2 – 2x-3 + 3)dx

A: We will use integration rules

Q: 10. f sin³x dx

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Q: 5. Comparison Test Determine whether the following integrals converge or diverge. dx

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Q: 3) S 7x 4 dx Find the intergral. 4) S 125 dx X

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Q: Q/ Find to the following functions: dx 1- sinh (x² + 7x + 12) 2- cosh²(17 – 4x²)

A: