Let ( u=2x). Then ( du=2dx), so ( 1/2du=dx). Rewrite using ( u) and ( d)( u). (∫ e^u1/2du) Combine( e^u) and ( 1/2). (∫ (e^u)/2du) Since ( 1/2) is constant with respect to ( u), move ( 1/2) out of the integral. ( 1/2∫ e^udu) The integral...
Answer to: Evaluate the integral. A) Integral of e^(2x) x^2 dx. B) Integral from 3 to 4 of (3x + 15)/(2x^2 + 7x + 5) dx. By signing up, you'll get...
Answer to: Find the integral: integral of e^(2x) sin(3x) dx. By signing up, you'll get thousands of step-by-step solutions to your homework...
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Integration of Trigonometric Functions: Special techniques and identities for integrating functions like sin(x), cos(x), tan(x), etc. Integration of Exponential and Logarithmic Functions: Methods and formulas to integrate functions like e^x, ln(x), etc. ...
Find the sum of all integral values of x such that 8x2 + 2x - 55 is a prime number.(A)0(B)1(C)2(D)14(E)51 相关知识点: 试题来源: 解析 (A).We know that 8x2 + 2x - 55 = (4x + 11)(2x - 5) is a prime number if and only if: I: 4x + 11 = 1 and (2x -5) ...
$ \int e^xdx=e^x+C$ $ \int a^xdx= \frac{a^x}{ln(a)}+C$ $ \int ln(x)dx=xln(x)-x+C$ Constant Multiplication Rule: $ \int adx=ax+C $ Reciprocal Rule: $ \int \frac{1}{x}dx=ln|x|+C $ Properties of Integration ...
Integral of 5tan^2(x) sec(x) dx. Evaluate the integral. Integral of x*sqrt(1 - x^4) dx. Evaluate the integral: integral of (sqrt(x^2 - 25))/(x) dx. Evaluate the integral. Integral from 0 to 1 of (x^e + e^x) dx. Evaluate the following integral: integral 4/(x(ln(9x...
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Evaluate the integral. \int_1^{\ln 3} \int_0^{\ln y} e^{x + y} \; dx \, dy Compute the integral from 0 to 2pi of e^(-x) cos(x)dx. Evaluate the definite integral. \int^4_0 e^x dx Evaluate the integral. int 8e^2x ...