integral of 1 x 1 sqrt 4x 2 8x 3 Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
If you substitute u sqrt 4x 2 8x 3 you obtain du dfrac 8x 8 2 sqrt 4x 2 8x 3 dx So int frac sqrt 4x 2 8x 3 x Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more
integral of 1 x 1 sqrt 4x 2 8x 3
integral of 1 x 1 sqrt 4x 2 8x 3
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Free Integral Calculator helps you solve definite and indefinite integration problems Also double triple and improper integrals Answers graphs alternate forms The integral calculator allows you to enter your problem and complete the integration to see the result You can also get a better visual and understanding of the function and area under the
Solution steps x 1 4x2 8x 31 dx Apply u substitution u 4u2 11 du u 4u2 11 du Apply u substitution v2 11 dv v2 11 dv Use the common integral v2 11 dv Hint let color red t 1 4x 2 implies frac dt dx 8x iff color green xdx frac 1 8 dt
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How do you find the integral of 1 x 4x2 1dx Calculus Techniques of Integration Integration by Trigonometric Substitution 1 Answer Narad T Jan 26 2017 The int dx sqrt x 2 4x 3 int sectdt The integral of sect should be known but here is how is calculated int sectdt int sect sect tant sect tant dt
int frac sqrt 4x 2 1 x 3 dx So make the substitution x sqrt a sec theta which simplifies to a tan theta Using Integration by parts I sqrt 4x 2 1 int1dx int d dx sqrt 4x 2 1 int1dx dx I sqrt 4x 2 1 x int 8x 2sqrt 4x 2 1 xx xdx
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integral of 1 x 1 sqrt 4x 2 8x 3 - Free Integral Calculator helps you solve definite and indefinite integration problems Also double triple and improper integrals Answers graphs alternate forms