6) Evaluate the improper integrals ∞ 5 a) 5² (+ + e-") dx s (-x) е 2 7 5 b) ² = 8 dx 4x-8 2

Q: -8 dx

A:

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

A:

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

A:

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

A:

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: •2 1 dx o (2x + 1)3

A: ∫02 12x+13dx

Q: integral of 70/t+9

A: Integrate the following function with respect to “t”.

Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

A:

Q: Evaluate the integral: · √2 9 1 + x² -dx

A:

Q: 8. f sec² (3x - 1) dx

A:

Q: y=ー-x+5 3 y=-x+7

A: This question is based on Substitution.

Q: (b) 를/ dx 3

A:

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: 2 Evaluate the integral: 3x(5-3x dx

A:

Q: 3 dx xV9- (In x)2

A: Let's find.

Q: 1 dx ½ x* -1 1 a) arctan -In 3+ 3 4 8 1 b) -arctan 3 --In 2+ 3 4 8 c) -arctan 3 +-In2+ 4 8 1 1…

A:

Q: 5. Use 2- step substitution tan 4x sec² (4x) dx

A: To solve the integration

Q: Differentiate. 4 (2x + 9)(x+ 1)* (1– 5x)° f(x) = In d (2x + 9)(x + 1)* In dx %3D (1 – 5x)°

A: NOTE: Refresh your page if you can't see any equations. . take derivative