Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
Close
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping

1)integrate the following : ∫4 x 3 x dx 2)a number is chosen randomly from numbers 1 to 60.the probability that the chosen number is a multiple of 2 or 5 is

1)integrate the following
: ∫4x3xdx
2)a number is chosen randomly from numbers 1 to 60.the probability that the chosen number is a multiple of 2 or 5 is
 

Grade:10

2 Answers

Aditya Gupta
2075 Points
one year ago
1. Note that 4^x.3^x= 12^x
So the integral is M= ∫12^xdx
Substitute y=12^x so that dy=12^x.ln12 dx
So M= ∫dy/ln12
= y/ln12
= 12^x/ln12
2. Number of numbers that are multiples of 2 or 5=
Number of multiples of 2 + number of multiples of 5 - number of multiples of 10 
= 30 + 12 - 6
= 36
Hence probability= 36/60
= 3/5
KINDLY APPROVE :))
Arun
25763 Points
one year ago
Dear student
 
1. integration of 12^x dx
 = 12^x / (ln12) + const
 
Hope it helps
 
PS-please ask only one question in one thread.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Register ICAT

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More